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Finding the Fourth Proportional to 2,266.95, 3,399.21 and 706.29

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Solution

The fourth proportional to 2,266.95, 3,399.21 and 706.29 is: 1,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.95 : 3,399.21 = 706.29 : x
  2. Step 2: Convert to fraction form
    2,266.95/3,399.21 = 706.29/x
  3. Step 3: Cross multiply
    2,266.95x = 3,399.21 × 706.29
  4. Step 4: Simplify right side
    2,266.95x = 2,400,828.03
  5. Step 5: Solve for x
    x = 2,400,828.03/2,266.95
  6. Step 6: Final answer
    x = 1,059.06

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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.