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Finding the Fourth Proportional to 2,437.73, 3,654.34 and 1,187.58

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Solution

The fourth proportional to 2,437.73, 3,654.34 and 1,187.58 is: 1,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.73 : 3,654.34 = 1,187.58 : x
  2. Step 2: Convert to fraction form
    2,437.73/3,654.34 = 1,187.58/x
  3. Step 3: Cross multiply
    2,437.73x = 3,654.34 × 1,187.58
  4. Step 4: Simplify right side
    2,437.73x = 4,339,821.10
  5. Step 5: Solve for x
    x = 4,339,821.10/2,437.73
  6. Step 6: Final answer
    x = 1,780.27

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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.