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Finding the Fourth Proportional to 1,557.88, 2,337.40 and 736.29

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Solution

The fourth proportional to 1,557.88, 2,337.40 and 736.29 is: 1,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.88 : 2,337.40 = 736.29 : x
  2. Step 2: Convert to fraction form
    1,557.88/2,337.40 = 736.29/x
  3. Step 3: Cross multiply
    1,557.88x = 2,337.40 × 736.29
  4. Step 4: Simplify right side
    1,557.88x = 1,720,992.56
  5. Step 5: Solve for x
    x = 1,720,992.56/1,557.88
  6. Step 6: Final answer
    x = 1,104.71

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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.