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Finding the Fourth Proportional to 1,761.28, 2,429.80 and 1,062.25

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Solution

The fourth proportional to 1,761.28, 2,429.80 and 1,062.25 is: 1,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.28 : 2,429.80 = 1,062.25 : x
  2. Step 2: Convert to fraction form
    1,761.28/2,429.80 = 1,062.25/x
  3. Step 3: Cross multiply
    1,761.28x = 2,429.80 × 1,062.25
  4. Step 4: Simplify right side
    1,761.28x = 2,581,055.05
  5. Step 5: Solve for x
    x = 2,581,055.05/1,761.28
  6. Step 6: Final answer
    x = 1,465.44

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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.