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Finding the Fourth Proportional to 2,652.33, 3,660.34 and 1,473.40

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Solution

The fourth proportional to 2,652.33, 3,660.34 and 1,473.40 is: 2,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.33 : 3,660.34 = 1,473.40 : x
  2. Step 2: Convert to fraction form
    2,652.33/3,660.34 = 1,473.40/x
  3. Step 3: Cross multiply
    2,652.33x = 3,660.34 × 1,473.40
  4. Step 4: Simplify right side
    2,652.33x = 5,393,144.96
  5. Step 5: Solve for x
    x = 5,393,144.96/2,652.33
  6. Step 6: Final answer
    x = 2,033.36

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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.