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Finding the Fourth Proportional to 2,607.80, 3,912.23 and 876.38

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Solution

The fourth proportional to 2,607.80, 3,912.23 and 876.38 is: 1,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.80 : 3,912.23 = 876.38 : x
  2. Step 2: Convert to fraction form
    2,607.80/3,912.23 = 876.38/x
  3. Step 3: Cross multiply
    2,607.80x = 3,912.23 × 876.38
  4. Step 4: Simplify right side
    2,607.80x = 3,428,582.76
  5. Step 5: Solve for x
    x = 3,428,582.76/2,607.80
  6. Step 6: Final answer
    x = 1,314.74

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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.