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Finding the Fourth Proportional to 2,864, 3,952.48 and 1,760

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Solution

The fourth proportional to 2,864, 3,952.48 and 1,760 is: 2,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864 : 3,952.48 = 1,760 : x
  2. Step 2: Convert to fraction form
    2,864/3,952.48 = 1,760/x
  3. Step 3: Cross multiply
    2,864x = 3,952.48 × 1,760
  4. Step 4: Simplify right side
    2,864x = 6,956,364.80
  5. Step 5: Solve for x
    x = 6,956,364.80/2,864
  6. Step 6: Final answer
    x = 2,428.90

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Why These Related Problems?

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