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Finding the Fourth Proportional to 2,002.99, 2,764.26 and 1,118.95

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Solution

The fourth proportional to 2,002.99, 2,764.26 and 1,118.95 is: 1,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.99 : 2,764.26 = 1,118.95 : x
  2. Step 2: Convert to fraction form
    2,002.99/2,764.26 = 1,118.95/x
  3. Step 3: Cross multiply
    2,002.99x = 2,764.26 × 1,118.95
  4. Step 4: Simplify right side
    2,002.99x = 3,093,068.73
  5. Step 5: Solve for x
    x = 3,093,068.73/2,002.99
  6. Step 6: Final answer
    x = 1,544.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.