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Finding the Fourth Proportional to 3,164.60, 4,752.30 and 1,706.60

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Solution

The fourth proportional to 3,164.60, 4,752.30 and 1,706.60 is: 2,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.60 : 4,752.30 = 1,706.60 : x
  2. Step 2: Convert to fraction form
    3,164.60/4,752.30 = 1,706.60/x
  3. Step 3: Cross multiply
    3,164.60x = 4,752.30 × 1,706.60
  4. Step 4: Simplify right side
    3,164.60x = 8,110,275.18
  5. Step 5: Solve for x
    x = 8,110,275.18/3,164.60
  6. Step 6: Final answer
    x = 2,562.81

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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.