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Finding the Fourth Proportional to 2,398.91, 3,597.67 and 1,012.56

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Solution

The fourth proportional to 2,398.91, 3,597.67 and 1,012.56 is: 1,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.91 : 3,597.67 = 1,012.56 : x
  2. Step 2: Convert to fraction form
    2,398.91/3,597.67 = 1,012.56/x
  3. Step 3: Cross multiply
    2,398.91x = 3,597.67 × 1,012.56
  4. Step 4: Simplify right side
    2,398.91x = 3,642,856.74
  5. Step 5: Solve for x
    x = 3,642,856.74/2,398.91
  6. Step 6: Final answer
    x = 1,518.55

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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.