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Finding the Fourth Proportional to 2,331.57, 3,498.09 and 1,098.93

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Solution

The fourth proportional to 2,331.57, 3,498.09 and 1,098.93 is: 1,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.57 : 3,498.09 = 1,098.93 : x
  2. Step 2: Convert to fraction form
    2,331.57/3,498.09 = 1,098.93/x
  3. Step 3: Cross multiply
    2,331.57x = 3,498.09 × 1,098.93
  4. Step 4: Simplify right side
    2,331.57x = 3,844,156.04
  5. Step 5: Solve for x
    x = 3,844,156.04/2,331.57
  6. Step 6: Final answer
    x = 1,648.74

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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.