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Finding the Fourth Proportional to 2,683.75, 3,700.46 and 2,517.70

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Solution

The fourth proportional to 2,683.75, 3,700.46 and 2,517.70 is: 3,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.75 : 3,700.46 = 2,517.70 : x
  2. Step 2: Convert to fraction form
    2,683.75/3,700.46 = 2,517.70/x
  3. Step 3: Cross multiply
    2,683.75x = 3,700.46 × 2,517.70
  4. Step 4: Simplify right side
    2,683.75x = 9,316,635.55
  5. Step 5: Solve for x
    x = 9,316,635.55/2,683.75
  6. Step 6: Final answer
    x = 3,471.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.