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Finding the Fourth Proportional to 3,141.70, 4,712.55 and 1,683.70

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Solution

The fourth proportional to 3,141.70, 4,712.55 and 1,683.70 is: 2,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.70 : 4,712.55 = 1,683.70 : x
  2. Step 2: Convert to fraction form
    3,141.70/4,712.55 = 1,683.70/x
  3. Step 3: Cross multiply
    3,141.70x = 4,712.55 × 1,683.70
  4. Step 4: Simplify right side
    3,141.70x = 7,934,520.44
  5. Step 5: Solve for x
    x = 7,934,520.44/3,141.70
  6. Step 6: Final answer
    x = 2,525.55

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.