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Finding the Fourth Proportional to 2,034.89, 3,052.59 and 718.33

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Solution

The fourth proportional to 2,034.89, 3,052.59 and 718.33 is: 1,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.89 : 3,052.59 = 718.33 : x
  2. Step 2: Convert to fraction form
    2,034.89/3,052.59 = 718.33/x
  3. Step 3: Cross multiply
    2,034.89x = 3,052.59 × 718.33
  4. Step 4: Simplify right side
    2,034.89x = 2,192,766.97
  5. Step 5: Solve for x
    x = 2,192,766.97/2,034.89
  6. Step 6: Final answer
    x = 1,077.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.