Home / 1,422.10-1,962.52-801.10

Finding the Fourth Proportional to 1,422.10, 1,962.52 and 801.10

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Solution

The fourth proportional to 1,422.10, 1,962.52 and 801.10 is: 1,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.10 : 1,962.52 = 801.10 : x
  2. Step 2: Convert to fraction form
    1,422.10/1,962.52 = 801.10/x
  3. Step 3: Cross multiply
    1,422.10x = 1,962.52 × 801.10
  4. Step 4: Simplify right side
    1,422.10x = 1,572,174.77
  5. Step 5: Solve for x
    x = 1,572,174.77/1,422.10
  6. Step 6: Final answer
    x = 1,105.53

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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.