Home / 2,422.49-3,343.10-1,427.78

Finding the Fourth Proportional to 2,422.49, 3,343.10 and 1,427.78

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Solution

The fourth proportional to 2,422.49, 3,343.10 and 1,427.78 is: 1,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.49 : 3,343.10 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    2,422.49/3,343.10 = 1,427.78/x
  3. Step 3: Cross multiply
    2,422.49x = 3,343.10 × 1,427.78
  4. Step 4: Simplify right side
    2,422.49x = 4,773,212.54
  5. Step 5: Solve for x
    x = 4,773,212.54/2,422.49
  6. Step 6: Final answer
    x = 1,970.38

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1.5x scale

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.