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Finding the Fourth Proportional to 3,159.11, 4,734.82 and 2,234.93

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Solution

The fourth proportional to 3,159.11, 4,734.82 and 2,234.93 is: 3,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.11 : 4,734.82 = 2,234.93 : x
  2. Step 2: Convert to fraction form
    3,159.11/4,734.82 = 2,234.93/x
  3. Step 3: Cross multiply
    3,159.11x = 4,734.82 × 2,234.93
  4. Step 4: Simplify right side
    3,159.11x = 10,581,997.51
  5. Step 5: Solve for x
    x = 10,581,997.51/3,159.11
  6. Step 6: Final answer
    x = 3,349.68

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1.5x scale

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.