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Finding the Fourth Proportional to 1,902.18, 2,853.90 and 928.20

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Solution

The fourth proportional to 1,902.18, 2,853.90 and 928.20 is: 1,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.18 : 2,853.90 = 928.20 : x
  2. Step 2: Convert to fraction form
    1,902.18/2,853.90 = 928.20/x
  3. Step 3: Cross multiply
    1,902.18x = 2,853.90 × 928.20
  4. Step 4: Simplify right side
    1,902.18x = 2,648,989.98
  5. Step 5: Solve for x
    x = 2,648,989.98/1,902.18
  6. Step 6: Final answer
    x = 1,392.61

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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.