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Finding the Fourth Proportional to 2,398.01, 3,593.02 and 837.15

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Solution

The fourth proportional to 2,398.01, 3,593.02 and 837.15 is: 1,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.01 : 3,593.02 = 837.15 : x
  2. Step 2: Convert to fraction form
    2,398.01/3,593.02 = 837.15/x
  3. Step 3: Cross multiply
    2,398.01x = 3,593.02 × 837.15
  4. Step 4: Simplify right side
    2,398.01x = 3,007,896.69
  5. Step 5: Solve for x
    x = 3,007,896.69/2,398.01
  6. Step 6: Final answer
    x = 1,254.33

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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.