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Finding the Fourth Proportional to 2,324.95, 3,208.44 and 1,262.71

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Solution

The fourth proportional to 2,324.95, 3,208.44 and 1,262.71 is: 1,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.95 : 3,208.44 = 1,262.71 : x
  2. Step 2: Convert to fraction form
    2,324.95/3,208.44 = 1,262.71/x
  3. Step 3: Cross multiply
    2,324.95x = 3,208.44 × 1,262.71
  4. Step 4: Simplify right side
    2,324.95x = 4,051,336.39
  5. Step 5: Solve for x
    x = 4,051,336.39/2,324.95
  6. Step 6: Final answer
    x = 1,742.55

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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.