Home / 1,427.56-2,141.80-697.20

Finding the Fourth Proportional to 1,427.56, 2,141.80 and 697.20

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Solution

The fourth proportional to 1,427.56, 2,141.80 and 697.20 is: 1,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.56 : 2,141.80 = 697.20 : x
  2. Step 2: Convert to fraction form
    1,427.56/2,141.80 = 697.20/x
  3. Step 3: Cross multiply
    1,427.56x = 2,141.80 × 697.20
  4. Step 4: Simplify right side
    1,427.56x = 1,493,262.96
  5. Step 5: Solve for x
    x = 1,493,262.96/1,427.56
  6. Step 6: Final answer
    x = 1,046.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.