Home / 2,282.68-3,424.02-966.07

Finding the Fourth Proportional to 2,282.68, 3,424.02 and 966.07

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Solution

The fourth proportional to 2,282.68, 3,424.02 and 966.07 is: 1,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.68 : 3,424.02 = 966.07 : x
  2. Step 2: Convert to fraction form
    2,282.68/3,424.02 = 966.07/x
  3. Step 3: Cross multiply
    2,282.68x = 3,424.02 × 966.07
  4. Step 4: Simplify right side
    2,282.68x = 3,307,843.00
  5. Step 5: Solve for x
    x = 3,307,843.00/2,282.68
  6. Step 6: Final answer
    x = 1,449.11

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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.