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Finding the Fourth Proportional to 2,198.25, 3,035.07 and 1,402.02

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Solution

The fourth proportional to 2,198.25, 3,035.07 and 1,402.02 is: 1,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.25 : 3,035.07 = 1,402.02 : x
  2. Step 2: Convert to fraction form
    2,198.25/3,035.07 = 1,402.02/x
  3. Step 3: Cross multiply
    2,198.25x = 3,035.07 × 1,402.02
  4. Step 4: Simplify right side
    2,198.25x = 4,255,228.84
  5. Step 5: Solve for x
    x = 4,255,228.84/2,198.25
  6. Step 6: Final answer
    x = 1,935.73

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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.