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Finding the Fourth Proportional to 2,101.70, 3,149.85 and 1,279.10

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Solution

The fourth proportional to 2,101.70, 3,149.85 and 1,279.10 is: 1,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.70 : 3,149.85 = 1,279.10 : x
  2. Step 2: Convert to fraction form
    2,101.70/3,149.85 = 1,279.10/x
  3. Step 3: Cross multiply
    2,101.70x = 3,149.85 × 1,279.10
  4. Step 4: Simplify right side
    2,101.70x = 4,028,973.14
  5. Step 5: Solve for x
    x = 4,028,973.14/2,101.70
  6. Step 6: Final answer
    x = 1,917.01

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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.