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Finding the Fourth Proportional to 2,110.49, 3,167.13 and 877.91

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Solution

The fourth proportional to 2,110.49, 3,167.13 and 877.91 is: 1,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.49 : 3,167.13 = 877.91 : x
  2. Step 2: Convert to fraction form
    2,110.49/3,167.13 = 877.91/x
  3. Step 3: Cross multiply
    2,110.49x = 3,167.13 × 877.91
  4. Step 4: Simplify right side
    2,110.49x = 2,780,442.55
  5. Step 5: Solve for x
    x = 2,780,442.55/2,110.49
  6. Step 6: Final answer
    x = 1,317.44

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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.