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Finding the Fourth Proportional to 2,391.20, 3,586.76 and 659.84

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Solution

The fourth proportional to 2,391.20, 3,586.76 and 659.84 is: 989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.20 : 3,586.76 = 659.84 : x
  2. Step 2: Convert to fraction form
    2,391.20/3,586.76 = 659.84/x
  3. Step 3: Cross multiply
    2,391.20x = 3,586.76 × 659.84
  4. Step 4: Simplify right side
    2,391.20x = 2,366,687.72
  5. Step 5: Solve for x
    x = 2,366,687.72/2,391.20
  6. Step 6: Final answer
    x = 989.75

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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.