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Finding the Fourth Proportional to 2,034.79, 3,050.09 and 801.70

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Solution

The fourth proportional to 2,034.79, 3,050.09 and 801.70 is: 1,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.79 : 3,050.09 = 801.70 : x
  2. Step 2: Convert to fraction form
    2,034.79/3,050.09 = 801.70/x
  3. Step 3: Cross multiply
    2,034.79x = 3,050.09 × 801.70
  4. Step 4: Simplify right side
    2,034.79x = 2,445,257.15
  5. Step 5: Solve for x
    x = 2,445,257.15/2,034.79
  6. Step 6: Final answer
    x = 1,201.72

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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.