Home / 2,283.66-3,421.74-966.36

Finding the Fourth Proportional to 2,283.66, 3,421.74 and 966.36

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Solution

The fourth proportional to 2,283.66, 3,421.74 and 966.36 is: 1,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.66 : 3,421.74 = 966.36 : x
  2. Step 2: Convert to fraction form
    2,283.66/3,421.74 = 966.36/x
  3. Step 3: Cross multiply
    2,283.66x = 3,421.74 × 966.36
  4. Step 4: Simplify right side
    2,283.66x = 3,306,632.67
  5. Step 5: Solve for x
    x = 3,306,632.67/2,283.66
  6. Step 6: Final answer
    x = 1,447.95

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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.