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Finding the Fourth Proportional to 2,049.52, 2,829.24 and 1,577.22

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Solution

The fourth proportional to 2,049.52, 2,829.24 and 1,577.22 is: 2,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.52 : 2,829.24 = 1,577.22 : x
  2. Step 2: Convert to fraction form
    2,049.52/2,829.24 = 1,577.22/x
  3. Step 3: Cross multiply
    2,049.52x = 2,829.24 × 1,577.22
  4. Step 4: Simplify right side
    2,049.52x = 4,462,341.44
  5. Step 5: Solve for x
    x = 4,462,341.44/2,049.52
  6. Step 6: Final answer
    x = 2,177.27

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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.