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Finding the Fourth Proportional to 2,417.76, 3,331.83 and 1,630.44

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Solution

The fourth proportional to 2,417.76, 3,331.83 and 1,630.44 is: 2,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.76 : 3,331.83 = 1,630.44 : x
  2. Step 2: Convert to fraction form
    2,417.76/3,331.83 = 1,630.44/x
  3. Step 3: Cross multiply
    2,417.76x = 3,331.83 × 1,630.44
  4. Step 4: Simplify right side
    2,417.76x = 5,432,348.91
  5. Step 5: Solve for x
    x = 5,432,348.91/2,417.76
  6. Step 6: Final answer
    x = 2,246.85

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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.