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Finding the Fourth Proportional to 2,118.38, 3,177.59 and 579.38

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Solution

The fourth proportional to 2,118.38, 3,177.59 and 579.38 is: 869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.38 : 3,177.59 = 579.38 : x
  2. Step 2: Convert to fraction form
    2,118.38/3,177.59 = 579.38/x
  3. Step 3: Cross multiply
    2,118.38x = 3,177.59 × 579.38
  4. Step 4: Simplify right side
    2,118.38x = 1,841,013.31
  5. Step 5: Solve for x
    x = 1,841,013.31/2,118.38
  6. Step 6: Final answer
    x = 869.07

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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.