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Finding the Fourth Proportional to 2,331, 3,216.78 and 1,283.06

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Solution

The fourth proportional to 2,331, 3,216.78 and 1,283.06 is: 1,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331 : 3,216.78 = 1,283.06 : x
  2. Step 2: Convert to fraction form
    2,331/3,216.78 = 1,283.06/x
  3. Step 3: Cross multiply
    2,331x = 3,216.78 × 1,283.06
  4. Step 4: Simplify right side
    2,331x = 4,127,329.79
  5. Step 5: Solve for x
    x = 4,127,329.79/2,331
  6. Step 6: Final answer
    x = 1,770.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.