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Finding the Fourth Proportional to 2,398.86, 3,599.16 and 1,012.54

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Solution

The fourth proportional to 2,398.86, 3,599.16 and 1,012.54 is: 1,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.86 : 3,599.16 = 1,012.54 : x
  2. Step 2: Convert to fraction form
    2,398.86/3,599.16 = 1,012.54/x
  3. Step 3: Cross multiply
    2,398.86x = 3,599.16 × 1,012.54
  4. Step 4: Simplify right side
    2,398.86x = 3,644,293.47
  5. Step 5: Solve for x
    x = 3,644,293.47/2,398.86
  6. Step 6: Final answer
    x = 1,519.18

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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.