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Finding the Fourth Proportional to 2,179.76, 3,008.70 and 1,296.18

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Solution

The fourth proportional to 2,179.76, 3,008.70 and 1,296.18 is: 1,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.76 : 3,008.70 = 1,296.18 : x
  2. Step 2: Convert to fraction form
    2,179.76/3,008.70 = 1,296.18/x
  3. Step 3: Cross multiply
    2,179.76x = 3,008.70 × 1,296.18
  4. Step 4: Simplify right side
    2,179.76x = 3,899,816.77
  5. Step 5: Solve for x
    x = 3,899,816.77/2,179.76
  6. Step 6: Final answer
    x = 1,789.11

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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.