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Finding the Fourth Proportional to 2,609.24, 3,914.58 and 877.88

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Solution

The fourth proportional to 2,609.24, 3,914.58 and 877.88 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.24 : 3,914.58 = 877.88 : x
  2. Step 2: Convert to fraction form
    2,609.24/3,914.58 = 877.88/x
  3. Step 3: Cross multiply
    2,609.24x = 3,914.58 × 877.88
  4. Step 4: Simplify right side
    2,609.24x = 3,436,531.49
  5. Step 5: Solve for x
    x = 3,436,531.49/2,609.24
  6. Step 6: Final answer
    x = 1,317.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.