Home / 2,275.24-3,410.46-976.36

Finding the Fourth Proportional to 2,275.24, 3,410.46 and 976.36

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Solution

The fourth proportional to 2,275.24, 3,410.46 and 976.36 is: 1,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.24 : 3,410.46 = 976.36 : x
  2. Step 2: Convert to fraction form
    2,275.24/3,410.46 = 976.36/x
  3. Step 3: Cross multiply
    2,275.24x = 3,410.46 × 976.36
  4. Step 4: Simplify right side
    2,275.24x = 3,329,836.73
  5. Step 5: Solve for x
    x = 3,329,836.73/2,275.24
  6. Step 6: Final answer
    x = 1,463.51

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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.