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Finding the Fourth Proportional to 2,658.80, 3,971.98 and 2,645.84

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Solution

The fourth proportional to 2,658.80, 3,971.98 and 2,645.84 is: 3,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.80 : 3,971.98 = 2,645.84 : x
  2. Step 2: Convert to fraction form
    2,658.80/3,971.98 = 2,645.84/x
  3. Step 3: Cross multiply
    2,658.80x = 3,971.98 × 2,645.84
  4. Step 4: Simplify right side
    2,658.80x = 10,509,223.56
  5. Step 5: Solve for x
    x = 10,509,223.56/2,658.80
  6. Step 6: Final answer
    x = 3,952.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.