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Finding the Fourth Proportional to 2,397.95, 3,595.69 and 1,098.30

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Solution

The fourth proportional to 2,397.95, 3,595.69 and 1,098.30 is: 1,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.95 : 3,595.69 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    2,397.95/3,595.69 = 1,098.30/x
  3. Step 3: Cross multiply
    2,397.95x = 3,595.69 × 1,098.30
  4. Step 4: Simplify right side
    2,397.95x = 3,949,146.33
  5. Step 5: Solve for x
    x = 3,949,146.33/2,397.95
  6. Step 6: Final answer
    x = 1,646.88

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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.