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Finding the Fourth Proportional to 2,246.61, 3,098.98 and 1,748.46

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Solution

The fourth proportional to 2,246.61, 3,098.98 and 1,748.46 is: 2,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.61 : 3,098.98 = 1,748.46 : x
  2. Step 2: Convert to fraction form
    2,246.61/3,098.98 = 1,748.46/x
  3. Step 3: Cross multiply
    2,246.61x = 3,098.98 × 1,748.46
  4. Step 4: Simplify right side
    2,246.61x = 5,418,442.57
  5. Step 5: Solve for x
    x = 5,418,442.57/2,246.61
  6. Step 6: Final answer
    x = 2,411.83

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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.