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Finding the Fourth Proportional to 3,101.01, 4,277.98 and 2,159.12

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Solution

The fourth proportional to 3,101.01, 4,277.98 and 2,159.12 is: 2,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.01 : 4,277.98 = 2,159.12 : x
  2. Step 2: Convert to fraction form
    3,101.01/4,277.98 = 2,159.12/x
  3. Step 3: Cross multiply
    3,101.01x = 4,277.98 × 2,159.12
  4. Step 4: Simplify right side
    3,101.01x = 9,236,650.79
  5. Step 5: Solve for x
    x = 9,236,650.79/3,101.01
  6. Step 6: Final answer
    x = 2,978.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.