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Finding the Fourth Proportional to 2,266.53, 3,399.47 and 706.16

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Solution

The fourth proportional to 2,266.53, 3,399.47 and 706.16 is: 1,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.53 : 3,399.47 = 706.16 : x
  2. Step 2: Convert to fraction form
    2,266.53/3,399.47 = 706.16/x
  3. Step 3: Cross multiply
    2,266.53x = 3,399.47 × 706.16
  4. Step 4: Simplify right side
    2,266.53x = 2,400,577.35
  5. Step 5: Solve for x
    x = 2,400,577.35/2,266.53
  6. Step 6: Final answer
    x = 1,059.14

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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.