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Finding the Fourth Proportional to 2,377.22, 3,565.62 and 733.86

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Solution

The fourth proportional to 2,377.22, 3,565.62 and 733.86 is: 1,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.22 : 3,565.62 = 733.86 : x
  2. Step 2: Convert to fraction form
    2,377.22/3,565.62 = 733.86/x
  3. Step 3: Cross multiply
    2,377.22x = 3,565.62 × 733.86
  4. Step 4: Simplify right side
    2,377.22x = 2,616,665.89
  5. Step 5: Solve for x
    x = 2,616,665.89/2,377.22
  6. Step 6: Final answer
    x = 1,100.73

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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.