Home / 2,287.65-3,432.57-826.95

Finding the Fourth Proportional to 2,287.65, 3,432.57 and 826.95

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Solution

The fourth proportional to 2,287.65, 3,432.57 and 826.95 is: 1,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.65 : 3,432.57 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,287.65/3,432.57 = 826.95/x
  3. Step 3: Cross multiply
    2,287.65x = 3,432.57 × 826.95
  4. Step 4: Simplify right side
    2,287.65x = 2,838,563.76
  5. Step 5: Solve for x
    x = 2,838,563.76/2,287.65
  6. Step 6: Final answer
    x = 1,240.82

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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.