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Finding the Fourth Proportional to 2,877.12, 4,317.12 and 1,337.92

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Solution

The fourth proportional to 2,877.12, 4,317.12 and 1,337.92 is: 2,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.12 : 4,317.12 = 1,337.92 : x
  2. Step 2: Convert to fraction form
    2,877.12/4,317.12 = 1,337.92/x
  3. Step 3: Cross multiply
    2,877.12x = 4,317.12 × 1,337.92
  4. Step 4: Simplify right side
    2,877.12x = 5,775,961.19
  5. Step 5: Solve for x
    x = 5,775,961.19/2,877.12
  6. Step 6: Final answer
    x = 2,007.55

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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.