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Finding the Fourth Proportional to 2,398.95, 3,597.19 and 1,099.30

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Solution

The fourth proportional to 2,398.95, 3,597.19 and 1,099.30 is: 1,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.95 : 3,597.19 = 1,099.30 : x
  2. Step 2: Convert to fraction form
    2,398.95/3,597.19 = 1,099.30/x
  3. Step 3: Cross multiply
    2,398.95x = 3,597.19 × 1,099.30
  4. Step 4: Simplify right side
    2,398.95x = 3,954,390.97
  5. Step 5: Solve for x
    x = 3,954,390.97/2,398.95
  6. Step 6: Final answer
    x = 1,648.38

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Why These Related Problems?

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