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Finding the Fourth Proportional to 1,921.87, 2,652.24 and 1,260.46

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Solution

The fourth proportional to 1,921.87, 2,652.24 and 1,260.46 is: 1,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.87 : 2,652.24 = 1,260.46 : x
  2. Step 2: Convert to fraction form
    1,921.87/2,652.24 = 1,260.46/x
  3. Step 3: Cross multiply
    1,921.87x = 2,652.24 × 1,260.46
  4. Step 4: Simplify right side
    1,921.87x = 3,343,042.43
  5. Step 5: Solve for x
    x = 3,343,042.43/1,921.87
  6. Step 6: Final answer
    x = 1,739.47

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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.