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Finding the Fourth Proportional to 2,266.13, 3,399.68 and 706.10

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Solution

The fourth proportional to 2,266.13, 3,399.68 and 706.10 is: 1,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.13 : 3,399.68 = 706.10 : x
  2. Step 2: Convert to fraction form
    2,266.13/3,399.68 = 706.10/x
  3. Step 3: Cross multiply
    2,266.13x = 3,399.68 × 706.10
  4. Step 4: Simplify right side
    2,266.13x = 2,400,493.52
  5. Step 5: Solve for x
    x = 2,400,493.52/2,266.13
  6. Step 6: Final answer
    x = 1,059.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.