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Finding the Fourth Proportional to 2,652.75, 3,660.80 and 1,474.10

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Solution

The fourth proportional to 2,652.75, 3,660.80 and 1,474.10 is: 2,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.75 : 3,660.80 = 1,474.10 : x
  2. Step 2: Convert to fraction form
    2,652.75/3,660.80 = 1,474.10/x
  3. Step 3: Cross multiply
    2,652.75x = 3,660.80 × 1,474.10
  4. Step 4: Simplify right side
    2,652.75x = 5,396,373.33
  5. Step 5: Solve for x
    x = 5,396,373.33/2,652.75
  6. Step 6: Final answer
    x = 2,034.26

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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.