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Finding the Fourth Proportional to 3,145.60, 4,340.24 and 2,398.24

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Solution

The fourth proportional to 3,145.60, 4,340.24 and 2,398.24 is: 3,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.60 : 4,340.24 = 2,398.24 : x
  2. Step 2: Convert to fraction form
    3,145.60/4,340.24 = 2,398.24/x
  3. Step 3: Cross multiply
    3,145.60x = 4,340.24 × 2,398.24
  4. Step 4: Simplify right side
    3,145.60x = 10,408,937.18
  5. Step 5: Solve for x
    x = 10,408,937.18/3,145.60
  6. Step 6: Final answer
    x = 3,309.05

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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.