Home / 2,427.75-3,642.23-784.26

Finding the Fourth Proportional to 2,427.75, 3,642.23 and 784.26

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Solution

The fourth proportional to 2,427.75, 3,642.23 and 784.26 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.75 : 3,642.23 = 784.26 : x
  2. Step 2: Convert to fraction form
    2,427.75/3,642.23 = 784.26/x
  3. Step 3: Cross multiply
    2,427.75x = 3,642.23 × 784.26
  4. Step 4: Simplify right side
    2,427.75x = 2,856,451.38
  5. Step 5: Solve for x
    x = 2,856,451.38/2,427.75
  6. Step 6: Final answer
    x = 1,176.58

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1.5x scale

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.