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Finding the Fourth Proportional to 2,034.52, 3,050.40 and 717.96

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Solution

The fourth proportional to 2,034.52, 3,050.40 and 717.96 is: 1,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.52 : 3,050.40 = 717.96 : x
  2. Step 2: Convert to fraction form
    2,034.52/3,050.40 = 717.96/x
  3. Step 3: Cross multiply
    2,034.52x = 3,050.40 × 717.96
  4. Step 4: Simplify right side
    2,034.52x = 2,190,065.18
  5. Step 5: Solve for x
    x = 2,190,065.18/2,034.52
  6. Step 6: Final answer
    x = 1,076.45

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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.