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Finding the Fourth Proportional to 2,391.52, 3,586.88 and 659.68

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Solution

The fourth proportional to 2,391.52, 3,586.88 and 659.68 is: 989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.52 : 3,586.88 = 659.68 : x
  2. Step 2: Convert to fraction form
    2,391.52/3,586.88 = 659.68/x
  3. Step 3: Cross multiply
    2,391.52x = 3,586.88 × 659.68
  4. Step 4: Simplify right side
    2,391.52x = 2,366,193.00
  5. Step 5: Solve for x
    x = 2,366,193.00/2,391.52
  6. Step 6: Final answer
    x = 989.41

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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.