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Finding the Fourth Proportional to 2,101.77, 3,151.04 and 1,279.89

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Solution

The fourth proportional to 2,101.77, 3,151.04 and 1,279.89 is: 1,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.77 : 3,151.04 = 1,279.89 : x
  2. Step 2: Convert to fraction form
    2,101.77/3,151.04 = 1,279.89/x
  3. Step 3: Cross multiply
    2,101.77x = 3,151.04 × 1,279.89
  4. Step 4: Simplify right side
    2,101.77x = 4,032,978.19
  5. Step 5: Solve for x
    x = 4,032,978.19/2,101.77
  6. Step 6: Final answer
    x = 1,918.85

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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.