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Finding the Fourth Proportional to 2,606.69, 3,909.67 and 658.78

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Solution

The fourth proportional to 2,606.69, 3,909.67 and 658.78 is: 988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.69 : 3,909.67 = 658.78 : x
  2. Step 2: Convert to fraction form
    2,606.69/3,909.67 = 658.78/x
  3. Step 3: Cross multiply
    2,606.69x = 3,909.67 × 658.78
  4. Step 4: Simplify right side
    2,606.69x = 2,575,612.40
  5. Step 5: Solve for x
    x = 2,575,612.40/2,606.69
  6. Step 6: Final answer
    x = 988.08

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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.