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Finding the Fourth Proportional to 1,902, 2,854.20 and 747.72

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Solution

The fourth proportional to 1,902, 2,854.20 and 747.72 is: 1,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902 : 2,854.20 = 747.72 : x
  2. Step 2: Convert to fraction form
    1,902/2,854.20 = 747.72/x
  3. Step 3: Cross multiply
    1,902x = 2,854.20 × 747.72
  4. Step 4: Simplify right side
    1,902x = 2,134,142.42
  5. Step 5: Solve for x
    x = 2,134,142.42/1,902
  6. Step 6: Final answer
    x = 1,122.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.