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Finding the Fourth Proportional to 2,691.54, 4,036.59 and 1,538.10

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Solution

The fourth proportional to 2,691.54, 4,036.59 and 1,538.10 is: 2,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.54 : 4,036.59 = 1,538.10 : x
  2. Step 2: Convert to fraction form
    2,691.54/4,036.59 = 1,538.10/x
  3. Step 3: Cross multiply
    2,691.54x = 4,036.59 × 1,538.10
  4. Step 4: Simplify right side
    2,691.54x = 6,208,679.08
  5. Step 5: Solve for x
    x = 6,208,679.08/2,691.54
  6. Step 6: Final answer
    x = 2,306.74

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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.