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Finding the Fourth Proportional to 2,432, 3,362.56 and 2,323.20

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Solution

The fourth proportional to 2,432, 3,362.56 and 2,323.20 is: 3,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432 : 3,362.56 = 2,323.20 : x
  2. Step 2: Convert to fraction form
    2,432/3,362.56 = 2,323.20/x
  3. Step 3: Cross multiply
    2,432x = 3,362.56 × 2,323.20
  4. Step 4: Simplify right side
    2,432x = 7,811,899.39
  5. Step 5: Solve for x
    x = 7,811,899.39/2,432
  6. Step 6: Final answer
    x = 3,212.13

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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.