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Finding the Fourth Proportional to 2,608.76, 3,913.50 and 877.88

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Solution

The fourth proportional to 2,608.76, 3,913.50 and 877.88 is: 1,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.76 : 3,913.50 = 877.88 : x
  2. Step 2: Convert to fraction form
    2,608.76/3,913.50 = 877.88/x
  3. Step 3: Cross multiply
    2,608.76x = 3,913.50 × 877.88
  4. Step 4: Simplify right side
    2,608.76x = 3,435,583.38
  5. Step 5: Solve for x
    x = 3,435,583.38/2,608.76
  6. Step 6: Final answer
    x = 1,316.94

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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.