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Finding the Fourth Proportional to 1,724.40, 2,587.92 and 1,263.40

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Solution

The fourth proportional to 1,724.40, 2,587.92 and 1,263.40 is: 1,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.40 : 2,587.92 = 1,263.40 : x
  2. Step 2: Convert to fraction form
    1,724.40/2,587.92 = 1,263.40/x
  3. Step 3: Cross multiply
    1,724.40x = 2,587.92 × 1,263.40
  4. Step 4: Simplify right side
    1,724.40x = 3,269,578.13
  5. Step 5: Solve for x
    x = 3,269,578.13/1,724.40
  6. Step 6: Final answer
    x = 1,896.07

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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.