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Finding the Fourth Proportional to 2,338.43, 3,508.16 and 877.59

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Solution

The fourth proportional to 2,338.43, 3,508.16 and 877.59 is: 1,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.43 : 3,508.16 = 877.59 : x
  2. Step 2: Convert to fraction form
    2,338.43/3,508.16 = 877.59/x
  3. Step 3: Cross multiply
    2,338.43x = 3,508.16 × 877.59
  4. Step 4: Simplify right side
    2,338.43x = 3,078,721.75
  5. Step 5: Solve for x
    x = 3,078,721.75/2,338.43
  6. Step 6: Final answer
    x = 1,316.58

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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.