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Finding the Fourth Proportional to 2,398.24, 3,595.92 and 991.57

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Solution

The fourth proportional to 2,398.24, 3,595.92 and 991.57 is: 1,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.24 : 3,595.92 = 991.57 : x
  2. Step 2: Convert to fraction form
    2,398.24/3,595.92 = 991.57/x
  3. Step 3: Cross multiply
    2,398.24x = 3,595.92 × 991.57
  4. Step 4: Simplify right side
    2,398.24x = 3,565,606.39
  5. Step 5: Solve for x
    x = 3,565,606.39/2,398.24
  6. Step 6: Final answer
    x = 1,486.76

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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.