Home / 2,428.44-3,642.12-697.20

Finding the Fourth Proportional to 2,428.44, 3,642.12 and 697.20

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Solution

The fourth proportional to 2,428.44, 3,642.12 and 697.20 is: 1,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.44 : 3,642.12 = 697.20 : x
  2. Step 2: Convert to fraction form
    2,428.44/3,642.12 = 697.20/x
  3. Step 3: Cross multiply
    2,428.44x = 3,642.12 × 697.20
  4. Step 4: Simplify right side
    2,428.44x = 2,539,286.06
  5. Step 5: Solve for x
    x = 2,539,286.06/2,428.44
  6. Step 6: Final answer
    x = 1,045.64

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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.