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Finding the Fourth Proportional to 1,418.12, 2,124.41 and 799.95

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Solution

The fourth proportional to 1,418.12, 2,124.41 and 799.95 is: 1,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.12 : 2,124.41 = 799.95 : x
  2. Step 2: Convert to fraction form
    1,418.12/2,124.41 = 799.95/x
  3. Step 3: Cross multiply
    1,418.12x = 2,124.41 × 799.95
  4. Step 4: Simplify right side
    1,418.12x = 1,699,417.78
  5. Step 5: Solve for x
    x = 1,699,417.78/1,418.12
  6. Step 6: Final answer
    x = 1,198.36

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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.