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Finding the Fourth Proportional to 2,818.92, 4,227.30 and 1,429.50

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Solution

The fourth proportional to 2,818.92, 4,227.30 and 1,429.50 is: 2,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.92 : 4,227.30 = 1,429.50 : x
  2. Step 2: Convert to fraction form
    2,818.92/4,227.30 = 1,429.50/x
  3. Step 3: Cross multiply
    2,818.92x = 4,227.30 × 1,429.50
  4. Step 4: Simplify right side
    2,818.92x = 6,042,925.35
  5. Step 5: Solve for x
    x = 6,042,925.35/2,818.92
  6. Step 6: Final answer
    x = 2,143.70

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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.