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Finding the Fourth Proportional to 2,606.34, 3,909.65 and 658.56

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Solution

The fourth proportional to 2,606.34, 3,909.65 and 658.56 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.34 : 3,909.65 = 658.56 : x
  2. Step 2: Convert to fraction form
    2,606.34/3,909.65 = 658.56/x
  3. Step 3: Cross multiply
    2,606.34x = 3,909.65 × 658.56
  4. Step 4: Simplify right side
    2,606.34x = 2,574,735.81
  5. Step 5: Solve for x
    x = 2,574,735.81/2,606.34
  6. Step 6: Final answer
    x = 987.87

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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.