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Finding the Fourth Proportional to 2,407.66, 3,323.00 and 1,399.97

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Solution

The fourth proportional to 2,407.66, 3,323.00 and 1,399.97 is: 1,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.66 : 3,323.00 = 1,399.97 : x
  2. Step 2: Convert to fraction form
    2,407.66/3,323.00 = 1,399.97/x
  3. Step 3: Cross multiply
    2,407.66x = 3,323.00 × 1,399.97
  4. Step 4: Simplify right side
    2,407.66x = 4,652,112.12
  5. Step 5: Solve for x
    x = 4,652,112.12/2,407.66
  6. Step 6: Final answer
    x = 1,932.22

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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.