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Finding the Fourth Proportional to 2,034.02, 3,050.40 and 801.74

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Solution

The fourth proportional to 2,034.02, 3,050.40 and 801.74 is: 1,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,050.40 = 801.74 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,050.40 = 801.74/x
  3. Step 3: Cross multiply
    2,034.02x = 3,050.40 × 801.74
  4. Step 4: Simplify right side
    2,034.02x = 2,445,627.70
  5. Step 5: Solve for x
    x = 2,445,627.70/2,034.02
  6. Step 6: Final answer
    x = 1,202.36

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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.