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Finding the Fourth Proportional to 2,098.16, 3,147.90 and 1,266.14

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Solution

The fourth proportional to 2,098.16, 3,147.90 and 1,266.14 is: 1,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.16 : 3,147.90 = 1,266.14 : x
  2. Step 2: Convert to fraction form
    2,098.16/3,147.90 = 1,266.14/x
  3. Step 3: Cross multiply
    2,098.16x = 3,147.90 × 1,266.14
  4. Step 4: Simplify right side
    2,098.16x = 3,985,682.11
  5. Step 5: Solve for x
    x = 3,985,682.11/2,098.16
  6. Step 6: Final answer
    x = 1,899.61

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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.