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Finding the Fourth Proportional to 2,658.47, 3,660.30 and 2,259.27

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Solution

The fourth proportional to 2,658.47, 3,660.30 and 2,259.27 is: 3,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.47 : 3,660.30 = 2,259.27 : x
  2. Step 2: Convert to fraction form
    2,658.47/3,660.30 = 2,259.27/x
  3. Step 3: Cross multiply
    2,658.47x = 3,660.30 × 2,259.27
  4. Step 4: Simplify right side
    2,658.47x = 8,269,605.98
  5. Step 5: Solve for x
    x = 8,269,605.98/2,658.47
  6. Step 6: Final answer
    x = 3,110.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.