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Finding the Fourth Proportional to 2,332.08, 3,498.11 and 1,641.82

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Solution

The fourth proportional to 2,332.08, 3,498.11 and 1,641.82 is: 2,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.08 : 3,498.11 = 1,641.82 : x
  2. Step 2: Convert to fraction form
    2,332.08/3,498.11 = 1,641.82/x
  3. Step 3: Cross multiply
    2,332.08x = 3,498.11 × 1,641.82
  4. Step 4: Simplify right side
    2,332.08x = 5,743,266.96
  5. Step 5: Solve for x
    x = 5,743,266.96/2,332.08
  6. Step 6: Final answer
    x = 2,462.72

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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.