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Finding the Fourth Proportional to 1,921.60, 2,877.45 and 1,761.22

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Solution

The fourth proportional to 1,921.60, 2,877.45 and 1,761.22 is: 2,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.60 : 2,877.45 = 1,761.22 : x
  2. Step 2: Convert to fraction form
    1,921.60/2,877.45 = 1,761.22/x
  3. Step 3: Cross multiply
    1,921.60x = 2,877.45 × 1,761.22
  4. Step 4: Simplify right side
    1,921.60x = 5,067,822.49
  5. Step 5: Solve for x
    x = 5,067,822.49/1,921.60
  6. Step 6: Final answer
    x = 2,637.29

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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.