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Finding the Fourth Proportional to 2,397.82, 3,597.14 and 1,099.40

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Solution

The fourth proportional to 2,397.82, 3,597.14 and 1,099.40 is: 1,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.82 : 3,597.14 = 1,099.40 : x
  2. Step 2: Convert to fraction form
    2,397.82/3,597.14 = 1,099.40/x
  3. Step 3: Cross multiply
    2,397.82x = 3,597.14 × 1,099.40
  4. Step 4: Simplify right side
    2,397.82x = 3,954,695.72
  5. Step 5: Solve for x
    x = 3,954,695.72/2,397.82
  6. Step 6: Final answer
    x = 1,649.29

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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.