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Finding the Fourth Proportional to 2,198.17, 3,034.02 and 1,499.50

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Solution

The fourth proportional to 2,198.17, 3,034.02 and 1,499.50 is: 2,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.17 : 3,034.02 = 1,499.50 : x
  2. Step 2: Convert to fraction form
    2,198.17/3,034.02 = 1,499.50/x
  3. Step 3: Cross multiply
    2,198.17x = 3,034.02 × 1,499.50
  4. Step 4: Simplify right side
    2,198.17x = 4,549,512.99
  5. Step 5: Solve for x
    x = 4,549,512.99/2,198.17
  6. Step 6: Final answer
    x = 2,069.68

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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.