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Finding the Fourth Proportional to 1,902.60, 2,849.28 and 1,463.30

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Solution

The fourth proportional to 1,902.60, 2,849.28 and 1,463.30 is: 2,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.60 : 2,849.28 = 1,463.30 : x
  2. Step 2: Convert to fraction form
    1,902.60/2,849.28 = 1,463.30/x
  3. Step 3: Cross multiply
    1,902.60x = 2,849.28 × 1,463.30
  4. Step 4: Simplify right side
    1,902.60x = 4,169,351.42
  5. Step 5: Solve for x
    x = 4,169,351.42/1,902.60
  6. Step 6: Final answer
    x = 2,191.40

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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.