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Finding the Fourth Proportional to 2,749.30, 3,793.99 and 1,490.32

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Solution

The fourth proportional to 2,749.30, 3,793.99 and 1,490.32 is: 2,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.30 : 3,793.99 = 1,490.32 : x
  2. Step 2: Convert to fraction form
    2,749.30/3,793.99 = 1,490.32/x
  3. Step 3: Cross multiply
    2,749.30x = 3,793.99 × 1,490.32
  4. Step 4: Simplify right side
    2,749.30x = 5,654,259.18
  5. Step 5: Solve for x
    x = 5,654,259.18/2,749.30
  6. Step 6: Final answer
    x = 2,056.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.