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Finding the Fourth Proportional to 2,565.70, 3,845.36 and 1,332.40

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Solution

The fourth proportional to 2,565.70, 3,845.36 and 1,332.40 is: 1,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.70 : 3,845.36 = 1,332.40 : x
  2. Step 2: Convert to fraction form
    2,565.70/3,845.36 = 1,332.40/x
  3. Step 3: Cross multiply
    2,565.70x = 3,845.36 × 1,332.40
  4. Step 4: Simplify right side
    2,565.70x = 5,123,557.66
  5. Step 5: Solve for x
    x = 5,123,557.66/2,565.70
  6. Step 6: Final answer
    x = 1,996.94

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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.