Home / 1,257.32-1,882.44-948.20

Finding the Fourth Proportional to 1,257.32, 1,882.44 and 948.20

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Solution

The fourth proportional to 1,257.32, 1,882.44 and 948.20 is: 1,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.32 : 1,882.44 = 948.20 : x
  2. Step 2: Convert to fraction form
    1,257.32/1,882.44 = 948.20/x
  3. Step 3: Cross multiply
    1,257.32x = 1,882.44 × 948.20
  4. Step 4: Simplify right side
    1,257.32x = 1,784,920.20
  5. Step 5: Solve for x
    x = 1,784,920.20/1,257.32
  6. Step 6: Final answer
    x = 1,419.62

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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.