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Finding the Fourth Proportional to 1,866.02, 2,793.62 and 1,214.78

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Solution

The fourth proportional to 1,866.02, 2,793.62 and 1,214.78 is: 1,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.02 : 2,793.62 = 1,214.78 : x
  2. Step 2: Convert to fraction form
    1,866.02/2,793.62 = 1,214.78/x
  3. Step 3: Cross multiply
    1,866.02x = 2,793.62 × 1,214.78
  4. Step 4: Simplify right side
    1,866.02x = 3,393,633.70
  5. Step 5: Solve for x
    x = 3,393,633.70/1,866.02
  6. Step 6: Final answer
    x = 1,818.65

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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.