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Finding the Fourth Proportional to 2,377.27, 3,565.91 and 645.89

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Solution

The fourth proportional to 2,377.27, 3,565.91 and 645.89 is: 968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.27 : 3,565.91 = 645.89 : x
  2. Step 2: Convert to fraction form
    2,377.27/3,565.91 = 645.89/x
  3. Step 3: Cross multiply
    2,377.27x = 3,565.91 × 645.89
  4. Step 4: Simplify right side
    2,377.27x = 2,303,185.82
  5. Step 5: Solve for x
    x = 2,303,185.82/2,377.27
  6. Step 6: Final answer
    x = 968.84

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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.