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Finding the Fourth Proportional to 2,446.14, 3,369.52 and 2,266.74

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Solution

The fourth proportional to 2,446.14, 3,369.52 and 2,266.74 is: 3,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.14 : 3,369.52 = 2,266.74 : x
  2. Step 2: Convert to fraction form
    2,446.14/3,369.52 = 2,266.74/x
  3. Step 3: Cross multiply
    2,446.14x = 3,369.52 × 2,266.74
  4. Step 4: Simplify right side
    2,446.14x = 7,637,828.60
  5. Step 5: Solve for x
    x = 7,637,828.60/2,446.14
  6. Step 6: Final answer
    x = 3,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.