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Finding the Fourth Proportional to 3,149.60, 4,346.16 and 1,823.27

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Solution

The fourth proportional to 3,149.60, 4,346.16 and 1,823.27 is: 2,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.60 : 4,346.16 = 1,823.27 : x
  2. Step 2: Convert to fraction form
    3,149.60/4,346.16 = 1,823.27/x
  3. Step 3: Cross multiply
    3,149.60x = 4,346.16 × 1,823.27
  4. Step 4: Simplify right side
    3,149.60x = 7,924,223.14
  5. Step 5: Solve for x
    x = 7,924,223.14/3,149.60
  6. Step 6: Final answer
    x = 2,515.95

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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.