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Finding the Fourth Proportional to 2,198.79, 3,295.13 and 1,459.26

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Solution

The fourth proportional to 2,198.79, 3,295.13 and 1,459.26 is: 2,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.79 : 3,295.13 = 1,459.26 : x
  2. Step 2: Convert to fraction form
    2,198.79/3,295.13 = 1,459.26/x
  3. Step 3: Cross multiply
    2,198.79x = 3,295.13 × 1,459.26
  4. Step 4: Simplify right side
    2,198.79x = 4,808,444.11
  5. Step 5: Solve for x
    x = 4,808,444.11/2,198.79
  6. Step 6: Final answer
    x = 2,186.86

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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.