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Finding the Fourth Proportional to 2,886.18, 3,981.24 and 2,000.40

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Solution

The fourth proportional to 2,886.18, 3,981.24 and 2,000.40 is: 2,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.18 : 3,981.24 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    2,886.18/3,981.24 = 2,000.40/x
  3. Step 3: Cross multiply
    2,886.18x = 3,981.24 × 2,000.40
  4. Step 4: Simplify right side
    2,886.18x = 7,964,072.50
  5. Step 5: Solve for x
    x = 7,964,072.50/2,886.18
  6. Step 6: Final answer
    x = 2,759.38

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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.