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Finding the Fourth Proportional to 2,397.92, 3,595.64 and 1,100.24

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Solution

The fourth proportional to 2,397.92, 3,595.64 and 1,100.24 is: 1,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.92 : 3,595.64 = 1,100.24 : x
  2. Step 2: Convert to fraction form
    2,397.92/3,595.64 = 1,100.24/x
  3. Step 3: Cross multiply
    2,397.92x = 3,595.64 × 1,100.24
  4. Step 4: Simplify right side
    2,397.92x = 3,956,066.95
  5. Step 5: Solve for x
    x = 3,956,066.95/2,397.92
  6. Step 6: Final answer
    x = 1,649.79

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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.