Home / 2,283.08-3,419.76-1,306.76

Finding the Fourth Proportional to 2,283.08, 3,419.76 and 1,306.76

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Solution

The fourth proportional to 2,283.08, 3,419.76 and 1,306.76 is: 1,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.08 : 3,419.76 = 1,306.76 : x
  2. Step 2: Convert to fraction form
    2,283.08/3,419.76 = 1,306.76/x
  3. Step 3: Cross multiply
    2,283.08x = 3,419.76 × 1,306.76
  4. Step 4: Simplify right side
    2,283.08x = 4,468,805.58
  5. Step 5: Solve for x
    x = 4,468,805.58/2,283.08
  6. Step 6: Final answer
    x = 1,957.36

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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.