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Finding the Fourth Proportional to 3,374.16, 5,059.08 and 1,641.84

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Solution

The fourth proportional to 3,374.16, 5,059.08 and 1,641.84 is: 2,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.16 : 5,059.08 = 1,641.84 : x
  2. Step 2: Convert to fraction form
    3,374.16/5,059.08 = 1,641.84/x
  3. Step 3: Cross multiply
    3,374.16x = 5,059.08 × 1,641.84
  4. Step 4: Simplify right side
    3,374.16x = 8,306,199.91
  5. Step 5: Solve for x
    x = 8,306,199.91/3,374.16
  6. Step 6: Final answer
    x = 2,461.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.