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Finding the Fourth Proportional to 3,422.60, 5,130.24 and 1,230.72

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Solution

The fourth proportional to 3,422.60, 5,130.24 and 1,230.72 is: 1,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.60 : 5,130.24 = 1,230.72 : x
  2. Step 2: Convert to fraction form
    3,422.60/5,130.24 = 1,230.72/x
  3. Step 3: Cross multiply
    3,422.60x = 5,130.24 × 1,230.72
  4. Step 4: Simplify right side
    3,422.60x = 6,313,888.97
  5. Step 5: Solve for x
    x = 6,313,888.97/3,422.60
  6. Step 6: Final answer
    x = 1,844.76

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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.