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Finding the Fourth Proportional to 4,230.59, 6,342.46 and 1,767.26

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Solution

The fourth proportional to 4,230.59, 6,342.46 and 1,767.26 is: 2,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.59 : 6,342.46 = 1,767.26 : x
  2. Step 2: Convert to fraction form
    4,230.59/6,342.46 = 1,767.26/x
  3. Step 3: Cross multiply
    4,230.59x = 6,342.46 × 1,767.26
  4. Step 4: Simplify right side
    4,230.59x = 11,208,744.15
  5. Step 5: Solve for x
    x = 11,208,744.15/4,230.59
  6. Step 6: Final answer
    x = 2,649.45

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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.