Home / 2,264.09-3,394.51-964.85

Finding the Fourth Proportional to 2,264.09, 3,394.51 and 964.85

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Solution

The fourth proportional to 2,264.09, 3,394.51 and 964.85 is: 1,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.09 : 3,394.51 = 964.85 : x
  2. Step 2: Convert to fraction form
    2,264.09/3,394.51 = 964.85/x
  3. Step 3: Cross multiply
    2,264.09x = 3,394.51 × 964.85
  4. Step 4: Simplify right side
    2,264.09x = 3,275,173.59
  5. Step 5: Solve for x
    x = 3,275,173.59/2,264.09
  6. Step 6: Final answer
    x = 1,446.58

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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.