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Finding the Fourth Proportional to 2,749.32, 3,793.68 and 1,507.32

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Solution

The fourth proportional to 2,749.32, 3,793.68 and 1,507.32 is: 2,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.32 : 3,793.68 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    2,749.32/3,793.68 = 1,507.32/x
  3. Step 3: Cross multiply
    2,749.32x = 3,793.68 × 1,507.32
  4. Step 4: Simplify right side
    2,749.32x = 5,718,289.74
  5. Step 5: Solve for x
    x = 5,718,289.74/2,749.32
  6. Step 6: Final answer
    x = 2,079.89

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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.