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Finding the Fourth Proportional to 2,454.73, 3,681.73 and 811.30

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Solution

The fourth proportional to 2,454.73, 3,681.73 and 811.30 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.73 : 3,681.73 = 811.30 : x
  2. Step 2: Convert to fraction form
    2,454.73/3,681.73 = 811.30/x
  3. Step 3: Cross multiply
    2,454.73x = 3,681.73 × 811.30
  4. Step 4: Simplify right side
    2,454.73x = 2,986,969.14
  5. Step 5: Solve for x
    x = 2,986,969.14/2,454.73
  6. Step 6: Final answer
    x = 1,216.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.