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Finding the Fourth Proportional to 2,043.22, 3,064.84 and 562.46

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Solution

The fourth proportional to 2,043.22, 3,064.84 and 562.46 is: 843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.22 : 3,064.84 = 562.46 : x
  2. Step 2: Convert to fraction form
    2,043.22/3,064.84 = 562.46/x
  3. Step 3: Cross multiply
    2,043.22x = 3,064.84 × 562.46
  4. Step 4: Simplify right side
    2,043.22x = 1,723,851.63
  5. Step 5: Solve for x
    x = 1,723,851.63/2,043.22
  6. Step 6: Final answer
    x = 843.69

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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.