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Finding the Fourth Proportional to 2,110.69, 3,165.36 and 877.44

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Solution

The fourth proportional to 2,110.69, 3,165.36 and 877.44 is: 1,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.69 : 3,165.36 = 877.44 : x
  2. Step 2: Convert to fraction form
    2,110.69/3,165.36 = 877.44/x
  3. Step 3: Cross multiply
    2,110.69x = 3,165.36 × 877.44
  4. Step 4: Simplify right side
    2,110.69x = 2,777,422.06
  5. Step 5: Solve for x
    x = 2,777,422.06/2,110.69
  6. Step 6: Final answer
    x = 1,315.88

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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.