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Finding the Fourth Proportional to 2,827.76, 4,242.20 and 2,006.32

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Solution

The fourth proportional to 2,827.76, 4,242.20 and 2,006.32 is: 3,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.76 : 4,242.20 = 2,006.32 : x
  2. Step 2: Convert to fraction form
    2,827.76/4,242.20 = 2,006.32/x
  3. Step 3: Cross multiply
    2,827.76x = 4,242.20 × 2,006.32
  4. Step 4: Simplify right side
    2,827.76x = 8,511,210.70
  5. Step 5: Solve for x
    x = 8,511,210.70/2,827.76
  6. Step 6: Final answer
    x = 3,009.88

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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.