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Finding the Fourth Proportional to 2,266.16, 3,397.08 and 1,238

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Solution

The fourth proportional to 2,266.16, 3,397.08 and 1,238 is: 1,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.16 : 3,397.08 = 1,238 : x
  2. Step 2: Convert to fraction form
    2,266.16/3,397.08 = 1,238/x
  3. Step 3: Cross multiply
    2,266.16x = 3,397.08 × 1,238
  4. Step 4: Simplify right side
    2,266.16x = 4,205,585.04
  5. Step 5: Solve for x
    x = 4,205,585.04/2,266.16
  6. Step 6: Final answer
    x = 1,855.82

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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.