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Finding the Fourth Proportional to 2,391.17, 3,586.97 and 930.43

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Solution

The fourth proportional to 2,391.17, 3,586.97 and 930.43 is: 1,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.17 : 3,586.97 = 930.43 : x
  2. Step 2: Convert to fraction form
    2,391.17/3,586.97 = 930.43/x
  3. Step 3: Cross multiply
    2,391.17x = 3,586.97 × 930.43
  4. Step 4: Simplify right side
    2,391.17x = 3,337,401.91
  5. Step 5: Solve for x
    x = 3,337,401.91/2,391.17
  6. Step 6: Final answer
    x = 1,395.72

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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.