Home / 1,634.24-2,255.68-1,013.76

Finding the Fourth Proportional to 1,634.24, 2,255.68 and 1,013.76

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Solution

The fourth proportional to 1,634.24, 2,255.68 and 1,013.76 is: 1,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.24 : 2,255.68 = 1,013.76 : x
  2. Step 2: Convert to fraction form
    1,634.24/2,255.68 = 1,013.76/x
  3. Step 3: Cross multiply
    1,634.24x = 2,255.68 × 1,013.76
  4. Step 4: Simplify right side
    1,634.24x = 2,286,718.16
  5. Step 5: Solve for x
    x = 2,286,718.16/1,634.24
  6. Step 6: Final answer
    x = 1,399.25

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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.