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Finding the Fourth Proportional to 2,377.17, 3,565.41 and 711.25

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Solution

The fourth proportional to 2,377.17, 3,565.41 and 711.25 is: 1,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.17 : 3,565.41 = 711.25 : x
  2. Step 2: Convert to fraction form
    2,377.17/3,565.41 = 711.25/x
  3. Step 3: Cross multiply
    2,377.17x = 3,565.41 × 711.25
  4. Step 4: Simplify right side
    2,377.17x = 2,535,897.86
  5. Step 5: Solve for x
    x = 2,535,897.86/2,377.17
  6. Step 6: Final answer
    x = 1,066.77

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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.