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Finding the Fourth Proportional to 3,102.68, 4,683.20 and 3,102.68

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Solution

The fourth proportional to 3,102.68, 4,683.20 and 3,102.68 is: 4,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.68 : 4,683.20 = 3,102.68 : x
  2. Step 2: Convert to fraction form
    3,102.68/4,683.20 = 3,102.68/x
  3. Step 3: Cross multiply
    3,102.68x = 4,683.20 × 3,102.68
  4. Step 4: Simplify right side
    3,102.68x = 14,530,470.98
  5. Step 5: Solve for x
    x = 14,530,470.98/3,102.68
  6. Step 6: Final answer
    x = 4,683.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.