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Finding the Fourth Proportional to 2,394.23, 3,591.34 and 750.78

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Solution

The fourth proportional to 2,394.23, 3,591.34 and 750.78 is: 1,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.23 : 3,591.34 = 750.78 : x
  2. Step 2: Convert to fraction form
    2,394.23/3,591.34 = 750.78/x
  3. Step 3: Cross multiply
    2,394.23x = 3,591.34 × 750.78
  4. Step 4: Simplify right side
    2,394.23x = 2,696,306.25
  5. Step 5: Solve for x
    x = 2,696,306.25/2,394.23
  6. Step 6: Final answer
    x = 1,126.17

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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.