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Finding the Fourth Proportional to 2,454.65, 3,681.97 and 1,727.47

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Solution

The fourth proportional to 2,454.65, 3,681.97 and 1,727.47 is: 2,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.65 : 3,681.97 = 1,727.47 : x
  2. Step 2: Convert to fraction form
    2,454.65/3,681.97 = 1,727.47/x
  3. Step 3: Cross multiply
    2,454.65x = 3,681.97 × 1,727.47
  4. Step 4: Simplify right side
    2,454.65x = 6,360,497.03
  5. Step 5: Solve for x
    x = 6,360,497.03/2,454.65
  6. Step 6: Final answer
    x = 2,591.21

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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.