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Finding the Fourth Proportional to 3,187.76, 4,773.04 and 1,799.02

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Solution

The fourth proportional to 3,187.76, 4,773.04 and 1,799.02 is: 2,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.76 : 4,773.04 = 1,799.02 : x
  2. Step 2: Convert to fraction form
    3,187.76/4,773.04 = 1,799.02/x
  3. Step 3: Cross multiply
    3,187.76x = 4,773.04 × 1,799.02
  4. Step 4: Simplify right side
    3,187.76x = 8,586,794.42
  5. Step 5: Solve for x
    x = 8,586,794.42/3,187.76
  6. Step 6: Final answer
    x = 2,693.68

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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.