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Finding the Fourth Proportional to 2,323.76, 3,207.60 and 1,392.24

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Solution

The fourth proportional to 2,323.76, 3,207.60 and 1,392.24 is: 1,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.76 : 3,207.60 = 1,392.24 : x
  2. Step 2: Convert to fraction form
    2,323.76/3,207.60 = 1,392.24/x
  3. Step 3: Cross multiply
    2,323.76x = 3,207.60 × 1,392.24
  4. Step 4: Simplify right side
    2,323.76x = 4,465,749.02
  5. Step 5: Solve for x
    x = 4,465,749.02/2,323.76
  6. Step 6: Final answer
    x = 1,921.78

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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.