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Finding the Fourth Proportional to 2,377.12, 3,565.07 and 710.85

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Solution

The fourth proportional to 2,377.12, 3,565.07 and 710.85 is: 1,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.12 : 3,565.07 = 710.85 : x
  2. Step 2: Convert to fraction form
    2,377.12/3,565.07 = 710.85/x
  3. Step 3: Cross multiply
    2,377.12x = 3,565.07 × 710.85
  4. Step 4: Simplify right side
    2,377.12x = 2,534,222.44
  5. Step 5: Solve for x
    x = 2,534,222.44/2,377.12
  6. Step 6: Final answer
    x = 1,066.09

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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.