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Finding the Fourth Proportional to 2,086.88, 3,130.34 and 547.88

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Solution

The fourth proportional to 2,086.88, 3,130.34 and 547.88 is: 821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.88 : 3,130.34 = 547.88 : x
  2. Step 2: Convert to fraction form
    2,086.88/3,130.34 = 547.88/x
  3. Step 3: Cross multiply
    2,086.88x = 3,130.34 × 547.88
  4. Step 4: Simplify right side
    2,086.88x = 1,715,032.29
  5. Step 5: Solve for x
    x = 1,715,032.29/2,086.88
  6. Step 6: Final answer
    x = 821.82

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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.