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Finding the Fourth Proportional to 2,293.68, 3,440.54 and 562.31

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Solution

The fourth proportional to 2,293.68, 3,440.54 and 562.31 is: 843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.68 : 3,440.54 = 562.31 : x
  2. Step 2: Convert to fraction form
    2,293.68/3,440.54 = 562.31/x
  3. Step 3: Cross multiply
    2,293.68x = 3,440.54 × 562.31
  4. Step 4: Simplify right side
    2,293.68x = 1,934,647.15
  5. Step 5: Solve for x
    x = 1,934,647.15/2,293.68
  6. Step 6: Final answer
    x = 843.47

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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.