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Finding the Fourth Proportional to 2,376.66, 3,565.14 and 734.34

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Solution

The fourth proportional to 2,376.66, 3,565.14 and 734.34 is: 1,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.66 : 3,565.14 = 734.34 : x
  2. Step 2: Convert to fraction form
    2,376.66/3,565.14 = 734.34/x
  3. Step 3: Cross multiply
    2,376.66x = 3,565.14 × 734.34
  4. Step 4: Simplify right side
    2,376.66x = 2,618,024.91
  5. Step 5: Solve for x
    x = 2,618,024.91/2,376.66
  6. Step 6: Final answer
    x = 1,101.56

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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.