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Finding the Fourth Proportional to 2,030.46, 3,046.57 and 991.37

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Solution

The fourth proportional to 2,030.46, 3,046.57 and 991.37 is: 1,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.46 : 3,046.57 = 991.37 : x
  2. Step 2: Convert to fraction form
    2,030.46/3,046.57 = 991.37/x
  3. Step 3: Cross multiply
    2,030.46x = 3,046.57 × 991.37
  4. Step 4: Simplify right side
    2,030.46x = 3,020,260.39
  5. Step 5: Solve for x
    x = 3,020,260.39/2,030.46
  6. Step 6: Final answer
    x = 1,487.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.