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Finding the Fourth Proportional to 2,608.74, 3,913.13 and 877.36

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Solution

The fourth proportional to 2,608.74, 3,913.13 and 877.36 is: 1,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.74 : 3,913.13 = 877.36 : x
  2. Step 2: Convert to fraction form
    2,608.74/3,913.13 = 877.36/x
  3. Step 3: Cross multiply
    2,608.74x = 3,913.13 × 877.36
  4. Step 4: Simplify right side
    2,608.74x = 3,433,229.13
  5. Step 5: Solve for x
    x = 3,433,229.13/2,608.74
  6. Step 6: Final answer
    x = 1,316.05

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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.