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Finding the Fourth Proportional to 1,725.92, 2,382.24 and 1,062.80

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Solution

The fourth proportional to 1,725.92, 2,382.24 and 1,062.80 is: 1,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.92 : 2,382.24 = 1,062.80 : x
  2. Step 2: Convert to fraction form
    1,725.92/2,382.24 = 1,062.80/x
  3. Step 3: Cross multiply
    1,725.92x = 2,382.24 × 1,062.80
  4. Step 4: Simplify right side
    1,725.92x = 2,531,844.67
  5. Step 5: Solve for x
    x = 2,531,844.67/1,725.92
  6. Step 6: Final answer
    x = 1,466.95

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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.