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Finding the Fourth Proportional to 2,197.13, 3,034.05 and 1,412.54

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Solution

The fourth proportional to 2,197.13, 3,034.05 and 1,412.54 is: 1,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.13 : 3,034.05 = 1,412.54 : x
  2. Step 2: Convert to fraction form
    2,197.13/3,034.05 = 1,412.54/x
  3. Step 3: Cross multiply
    2,197.13x = 3,034.05 × 1,412.54
  4. Step 4: Simplify right side
    2,197.13x = 4,285,716.99
  5. Step 5: Solve for x
    x = 4,285,716.99/2,197.13
  6. Step 6: Final answer
    x = 1,950.60

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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.