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Finding the Fourth Proportional to 2,198.61, 3,032.95 and 1,301.84

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Solution

The fourth proportional to 2,198.61, 3,032.95 and 1,301.84 is: 1,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.61 : 3,032.95 = 1,301.84 : x
  2. Step 2: Convert to fraction form
    2,198.61/3,032.95 = 1,301.84/x
  3. Step 3: Cross multiply
    2,198.61x = 3,032.95 × 1,301.84
  4. Step 4: Simplify right side
    2,198.61x = 3,948,409.12
  5. Step 5: Solve for x
    x = 3,948,409.12/2,198.61
  6. Step 6: Final answer
    x = 1,795.87

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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.