Home / 2,422.78-3,343.98-1,538.42

Finding the Fourth Proportional to 2,422.78, 3,343.98 and 1,538.42

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Solution

The fourth proportional to 2,422.78, 3,343.98 and 1,538.42 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.78 : 3,343.98 = 1,538.42 : x
  2. Step 2: Convert to fraction form
    2,422.78/3,343.98 = 1,538.42/x
  3. Step 3: Cross multiply
    2,422.78x = 3,343.98 × 1,538.42
  4. Step 4: Simplify right side
    2,422.78x = 5,144,445.71
  5. Step 5: Solve for x
    x = 5,144,445.71/2,422.78
  6. Step 6: Final answer
    x = 2,123.36

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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.