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Finding the Fourth Proportional to 3,118.77, 4,302.80 and 2,000.32

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Solution

The fourth proportional to 3,118.77, 4,302.80 and 2,000.32 is: 2,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.77 : 4,302.80 = 2,000.32 : x
  2. Step 2: Convert to fraction form
    3,118.77/4,302.80 = 2,000.32/x
  3. Step 3: Cross multiply
    3,118.77x = 4,302.80 × 2,000.32
  4. Step 4: Simplify right side
    3,118.77x = 8,606,955.38
  5. Step 5: Solve for x
    x = 8,606,955.38/3,118.77
  6. Step 6: Final answer
    x = 2,759.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.