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Finding the Fourth Proportional to 2,993.14, 4,490.79 and 1,045.63

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Solution

The fourth proportional to 2,993.14, 4,490.79 and 1,045.63 is: 1,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.14 : 4,490.79 = 1,045.63 : x
  2. Step 2: Convert to fraction form
    2,993.14/4,490.79 = 1,045.63/x
  3. Step 3: Cross multiply
    2,993.14x = 4,490.79 × 1,045.63
  4. Step 4: Simplify right side
    2,993.14x = 4,695,704.75
  5. Step 5: Solve for x
    x = 4,695,704.75/2,993.14
  6. Step 6: Final answer
    x = 1,568.82

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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.