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Finding the Fourth Proportional to 2,407.52, 3,323.28 and 1,620

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Solution

The fourth proportional to 2,407.52, 3,323.28 and 1,620 is: 2,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.52 : 3,323.28 = 1,620 : x
  2. Step 2: Convert to fraction form
    2,407.52/3,323.28 = 1,620/x
  3. Step 3: Cross multiply
    2,407.52x = 3,323.28 × 1,620
  4. Step 4: Simplify right side
    2,407.52x = 5,383,713.60
  5. Step 5: Solve for x
    x = 5,383,713.60/2,407.52
  6. Step 6: Final answer
    x = 2,236.21

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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.