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Finding the Fourth Proportional to 1,877.98, 2,592.63 and 1,132.11

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Solution

The fourth proportional to 1,877.98, 2,592.63 and 1,132.11 is: 1,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.98 : 2,592.63 = 1,132.11 : x
  2. Step 2: Convert to fraction form
    1,877.98/2,592.63 = 1,132.11/x
  3. Step 3: Cross multiply
    1,877.98x = 2,592.63 × 1,132.11
  4. Step 4: Simplify right side
    1,877.98x = 2,935,142.35
  5. Step 5: Solve for x
    x = 2,935,142.35/1,877.98
  6. Step 6: Final answer
    x = 1,562.93

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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.