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Finding the Fourth Proportional to 3,141.92, 4,336.08 and 1,744.58

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Solution

The fourth proportional to 3,141.92, 4,336.08 and 1,744.58 is: 2,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.92 : 4,336.08 = 1,744.58 : x
  2. Step 2: Convert to fraction form
    3,141.92/4,336.08 = 1,744.58/x
  3. Step 3: Cross multiply
    3,141.92x = 4,336.08 × 1,744.58
  4. Step 4: Simplify right side
    3,141.92x = 7,564,638.45
  5. Step 5: Solve for x
    x = 7,564,638.45/3,141.92
  6. Step 6: Final answer
    x = 2,407.65

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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.