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Finding the Fourth Proportional to 2,877, 4,318.20 and 1,317.84

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Solution

The fourth proportional to 2,877, 4,318.20 and 1,317.84 is: 1,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877 : 4,318.20 = 1,317.84 : x
  2. Step 2: Convert to fraction form
    2,877/4,318.20 = 1,317.84/x
  3. Step 3: Cross multiply
    2,877x = 4,318.20 × 1,317.84
  4. Step 4: Simplify right side
    2,877x = 5,690,696.69
  5. Step 5: Solve for x
    x = 5,690,696.69/2,877
  6. Step 6: Final answer
    x = 1,978.00

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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.