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Finding the Fourth Proportional to 2,793.01, 3,854.67 and 1,785.66

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Solution

The fourth proportional to 2,793.01, 3,854.67 and 1,785.66 is: 2,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.01 : 3,854.67 = 1,785.66 : x
  2. Step 2: Convert to fraction form
    2,793.01/3,854.67 = 1,785.66/x
  3. Step 3: Cross multiply
    2,793.01x = 3,854.67 × 1,785.66
  4. Step 4: Simplify right side
    2,793.01x = 6,883,130.03
  5. Step 5: Solve for x
    x = 6,883,130.03/2,793.01
  6. Step 6: Final answer
    x = 2,464.41

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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.