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Finding the Fourth Proportional to 1,711.40, 2,565.09 and 1,505.54

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Solution

The fourth proportional to 1,711.40, 2,565.09 and 1,505.54 is: 2,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.40 : 2,565.09 = 1,505.54 : x
  2. Step 2: Convert to fraction form
    1,711.40/2,565.09 = 1,505.54/x
  3. Step 3: Cross multiply
    1,711.40x = 2,565.09 × 1,505.54
  4. Step 4: Simplify right side
    1,711.40x = 3,861,845.60
  5. Step 5: Solve for x
    x = 3,861,845.60/1,711.40
  6. Step 6: Final answer
    x = 2,256.54

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