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Finding the Fourth Proportional to 1,553.52, 2,142.08 and 1,159.88

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Solution

The fourth proportional to 1,553.52, 2,142.08 and 1,159.88 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.52 : 2,142.08 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    1,553.52/2,142.08 = 1,159.88/x
  3. Step 3: Cross multiply
    1,553.52x = 2,142.08 × 1,159.88
  4. Step 4: Simplify right side
    1,553.52x = 2,484,555.75
  5. Step 5: Solve for x
    x = 2,484,555.75/1,553.52
  6. Step 6: Final answer
    x = 1,599.31

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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.