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Finding the Fourth Proportional to 2,035.18, 3,050.97 and 994.60

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Solution

The fourth proportional to 2,035.18, 3,050.97 and 994.60 is: 1,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.18 : 3,050.97 = 994.60 : x
  2. Step 2: Convert to fraction form
    2,035.18/3,050.97 = 994.60/x
  3. Step 3: Cross multiply
    2,035.18x = 3,050.97 × 994.60
  4. Step 4: Simplify right side
    2,035.18x = 3,034,494.76
  5. Step 5: Solve for x
    x = 3,034,494.76/2,035.18
  6. Step 6: Final answer
    x = 1,491.02

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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.