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Finding the Fourth Proportional to 2,298.10, 3,447.15 and 2,139.70

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Solution

The fourth proportional to 2,298.10, 3,447.15 and 2,139.70 is: 3,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.10 : 3,447.15 = 2,139.70 : x
  2. Step 2: Convert to fraction form
    2,298.10/3,447.15 = 2,139.70/x
  3. Step 3: Cross multiply
    2,298.10x = 3,447.15 × 2,139.70
  4. Step 4: Simplify right side
    2,298.10x = 7,375,866.86
  5. Step 5: Solve for x
    x = 7,375,866.86/2,298.10
  6. Step 6: Final answer
    x = 3,209.55

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