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Finding the Fourth Proportional to 2,376.76, 3,565.26 and 734.43

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Solution

The fourth proportional to 2,376.76, 3,565.26 and 734.43 is: 1,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.76 : 3,565.26 = 734.43 : x
  2. Step 2: Convert to fraction form
    2,376.76/3,565.26 = 734.43/x
  3. Step 3: Cross multiply
    2,376.76x = 3,565.26 × 734.43
  4. Step 4: Simplify right side
    2,376.76x = 2,618,433.90
  5. Step 5: Solve for x
    x = 2,618,433.90/2,376.76
  6. Step 6: Final answer
    x = 1,101.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.