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Finding the Fourth Proportional to 2,422.76, 3,343.91 and 1,428.38

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Solution

The fourth proportional to 2,422.76, 3,343.91 and 1,428.38 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.76 : 3,343.91 = 1,428.38 : x
  2. Step 2: Convert to fraction form
    2,422.76/3,343.91 = 1,428.38/x
  3. Step 3: Cross multiply
    2,422.76x = 3,343.91 × 1,428.38
  4. Step 4: Simplify right side
    2,422.76x = 4,776,350.30
  5. Step 5: Solve for x
    x = 4,776,350.30/2,422.76
  6. Step 6: Final answer
    x = 1,971.45

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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.