Home / 2,263.08-3,394.80-964.56

Finding the Fourth Proportional to 2,263.08, 3,394.80 and 964.56

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Solution

The fourth proportional to 2,263.08, 3,394.80 and 964.56 is: 1,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.08 : 3,394.80 = 964.56 : x
  2. Step 2: Convert to fraction form
    2,263.08/3,394.80 = 964.56/x
  3. Step 3: Cross multiply
    2,263.08x = 3,394.80 × 964.56
  4. Step 4: Simplify right side
    2,263.08x = 3,274,488.29
  5. Step 5: Solve for x
    x = 3,274,488.29/2,263.08
  6. Step 6: Final answer
    x = 1,446.92

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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.