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Finding the Fourth Proportional to 2,818.80, 4,228.46 and 871.56

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Solution

The fourth proportional to 2,818.80, 4,228.46 and 871.56 is: 1,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.80 : 4,228.46 = 871.56 : x
  2. Step 2: Convert to fraction form
    2,818.80/4,228.46 = 871.56/x
  3. Step 3: Cross multiply
    2,818.80x = 4,228.46 × 871.56
  4. Step 4: Simplify right side
    2,818.80x = 3,685,356.60
  5. Step 5: Solve for x
    x = 3,685,356.60/2,818.80
  6. Step 6: Final answer
    x = 1,307.42

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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.