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Finding the Fourth Proportional to 3,227.76, 4,454.28 and 1,830.60

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Solution

The fourth proportional to 3,227.76, 4,454.28 and 1,830.60 is: 2,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.76 : 4,454.28 = 1,830.60 : x
  2. Step 2: Convert to fraction form
    3,227.76/4,454.28 = 1,830.60/x
  3. Step 3: Cross multiply
    3,227.76x = 4,454.28 × 1,830.60
  4. Step 4: Simplify right side
    3,227.76x = 8,154,004.97
  5. Step 5: Solve for x
    x = 8,154,004.97/3,227.76
  6. Step 6: Final answer
    x = 2,526.21

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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.