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Finding the Fourth Proportional to 2,174.70, 3,259.52 and 1,079.76

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Solution

The fourth proportional to 2,174.70, 3,259.52 and 1,079.76 is: 1,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.70 : 3,259.52 = 1,079.76 : x
  2. Step 2: Convert to fraction form
    2,174.70/3,259.52 = 1,079.76/x
  3. Step 3: Cross multiply
    2,174.70x = 3,259.52 × 1,079.76
  4. Step 4: Simplify right side
    2,174.70x = 3,519,499.32
  5. Step 5: Solve for x
    x = 3,519,499.32/2,174.70
  6. Step 6: Final answer
    x = 1,618.38

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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.