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Finding the Fourth Proportional to 1,548.13, 2,321.87 and 547.61

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Solution

The fourth proportional to 1,548.13, 2,321.87 and 547.61 is: 821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.13 : 2,321.87 = 547.61 : x
  2. Step 2: Convert to fraction form
    1,548.13/2,321.87 = 547.61/x
  3. Step 3: Cross multiply
    1,548.13x = 2,321.87 × 547.61
  4. Step 4: Simplify right side
    1,548.13x = 1,271,464.88
  5. Step 5: Solve for x
    x = 1,271,464.88/1,548.13
  6. Step 6: Final answer
    x = 821.29

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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.