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Finding the Fourth Proportional to 2,993.82, 4,491.30 and 1,046.58

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Solution

The fourth proportional to 2,993.82, 4,491.30 and 1,046.58 is: 1,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.82 : 4,491.30 = 1,046.58 : x
  2. Step 2: Convert to fraction form
    2,993.82/4,491.30 = 1,046.58/x
  3. Step 3: Cross multiply
    2,993.82x = 4,491.30 × 1,046.58
  4. Step 4: Simplify right side
    2,993.82x = 4,700,504.75
  5. Step 5: Solve for x
    x = 4,700,504.75/2,993.82
  6. Step 6: Final answer
    x = 1,570.07

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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.