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Finding the Fourth Proportional to 2,264.82, 3,397.73 and 683.47

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Solution

The fourth proportional to 2,264.82, 3,397.73 and 683.47 is: 1,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.82 : 3,397.73 = 683.47 : x
  2. Step 2: Convert to fraction form
    2,264.82/3,397.73 = 683.47/x
  3. Step 3: Cross multiply
    2,264.82x = 3,397.73 × 683.47
  4. Step 4: Simplify right side
    2,264.82x = 2,322,246.52
  5. Step 5: Solve for x
    x = 2,322,246.52/2,264.82
  6. Step 6: Final answer
    x = 1,025.36

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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.