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Finding the Fourth Proportional to 2,392.32, 3,300.96 and 1,397.76

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Solution

The fourth proportional to 2,392.32, 3,300.96 and 1,397.76 is: 1,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.32 : 3,300.96 = 1,397.76 : x
  2. Step 2: Convert to fraction form
    2,392.32/3,300.96 = 1,397.76/x
  3. Step 3: Cross multiply
    2,392.32x = 3,300.96 × 1,397.76
  4. Step 4: Simplify right side
    2,392.32x = 4,613,949.85
  5. Step 5: Solve for x
    x = 4,613,949.85/2,392.32
  6. Step 6: Final answer
    x = 1,928.65

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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.