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Finding the Fourth Proportional to 2,920.92, 4,031.34 and 1,742.04

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Solution

The fourth proportional to 2,920.92, 4,031.34 and 1,742.04 is: 2,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.92 : 4,031.34 = 1,742.04 : x
  2. Step 2: Convert to fraction form
    2,920.92/4,031.34 = 1,742.04/x
  3. Step 3: Cross multiply
    2,920.92x = 4,031.34 × 1,742.04
  4. Step 4: Simplify right side
    2,920.92x = 7,022,755.53
  5. Step 5: Solve for x
    x = 7,022,755.53/2,920.92
  6. Step 6: Final answer
    x = 2,404.30

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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.