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Finding the Fourth Proportional to 2,030.32, 3,044.84 and 662

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Solution

The fourth proportional to 2,030.32, 3,044.84 and 662 is: 992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.32 : 3,044.84 = 662 : x
  2. Step 2: Convert to fraction form
    2,030.32/3,044.84 = 662/x
  3. Step 3: Cross multiply
    2,030.32x = 3,044.84 × 662
  4. Step 4: Simplify right side
    2,030.32x = 2,015,684.08
  5. Step 5: Solve for x
    x = 2,015,684.08/2,030.32
  6. Step 6: Final answer
    x = 992.79

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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.