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Finding the Fourth Proportional to 2,398.08, 3,597.24 and 992.76

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Solution

The fourth proportional to 2,398.08, 3,597.24 and 992.76 is: 1,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.08 : 3,597.24 = 992.76 : x
  2. Step 2: Convert to fraction form
    2,398.08/3,597.24 = 992.76/x
  3. Step 3: Cross multiply
    2,398.08x = 3,597.24 × 992.76
  4. Step 4: Simplify right side
    2,398.08x = 3,571,195.98
  5. Step 5: Solve for x
    x = 3,571,195.98/2,398.08
  6. Step 6: Final answer
    x = 1,489.19

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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.