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Finding the Fourth Proportional to 2,151.44, 2,969.92 and 1,627.60

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Solution

The fourth proportional to 2,151.44, 2,969.92 and 1,627.60 is: 2,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.44 : 2,969.92 = 1,627.60 : x
  2. Step 2: Convert to fraction form
    2,151.44/2,969.92 = 1,627.60/x
  3. Step 3: Cross multiply
    2,151.44x = 2,969.92 × 1,627.60
  4. Step 4: Simplify right side
    2,151.44x = 4,833,841.79
  5. Step 5: Solve for x
    x = 4,833,841.79/2,151.44
  6. Step 6: Final answer
    x = 2,246.79

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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.