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Finding the Fourth Proportional to 2,440.59, 3,658.65 and 880.23

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Solution

The fourth proportional to 2,440.59, 3,658.65 and 880.23 is: 1,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.59 : 3,658.65 = 880.23 : x
  2. Step 2: Convert to fraction form
    2,440.59/3,658.65 = 880.23/x
  3. Step 3: Cross multiply
    2,440.59x = 3,658.65 × 880.23
  4. Step 4: Simplify right side
    2,440.59x = 3,220,443.33
  5. Step 5: Solve for x
    x = 3,220,443.33/2,440.59
  6. Step 6: Final answer
    x = 1,319.53

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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.