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Finding the Fourth Proportional to 1,402.44, 1,937.82 and 1,153.56

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Solution

The fourth proportional to 1,402.44, 1,937.82 and 1,153.56 is: 1,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.44 : 1,937.82 = 1,153.56 : x
  2. Step 2: Convert to fraction form
    1,402.44/1,937.82 = 1,153.56/x
  3. Step 3: Cross multiply
    1,402.44x = 1,937.82 × 1,153.56
  4. Step 4: Simplify right side
    1,402.44x = 2,235,391.64
  5. Step 5: Solve for x
    x = 2,235,391.64/1,402.44
  6. Step 6: Final answer
    x = 1,593.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.