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Finding the Fourth Proportional to 2,377.02, 3,565.80 and 915.78

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Solution

The fourth proportional to 2,377.02, 3,565.80 and 915.78 is: 1,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.02 : 3,565.80 = 915.78 : x
  2. Step 2: Convert to fraction form
    2,377.02/3,565.80 = 915.78/x
  3. Step 3: Cross multiply
    2,377.02x = 3,565.80 × 915.78
  4. Step 4: Simplify right side
    2,377.02x = 3,265,488.32
  5. Step 5: Solve for x
    x = 3,265,488.32/2,377.02
  6. Step 6: Final answer
    x = 1,373.77

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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.