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Finding the Fourth Proportional to 2,398.74, 3,598.58 and 755.79

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Solution

The fourth proportional to 2,398.74, 3,598.58 and 755.79 is: 1,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.74 : 3,598.58 = 755.79 : x
  2. Step 2: Convert to fraction form
    2,398.74/3,598.58 = 755.79/x
  3. Step 3: Cross multiply
    2,398.74x = 3,598.58 × 755.79
  4. Step 4: Simplify right side
    2,398.74x = 2,719,770.78
  5. Step 5: Solve for x
    x = 2,719,770.78/2,398.74
  6. Step 6: Final answer
    x = 1,133.83

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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.