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Finding the Fourth Proportional to 2,234.98, 3,350.80 and 1,357.68

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Solution

The fourth proportional to 2,234.98, 3,350.80 and 1,357.68 is: 2,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.98 : 3,350.80 = 1,357.68 : x
  2. Step 2: Convert to fraction form
    2,234.98/3,350.80 = 1,357.68/x
  3. Step 3: Cross multiply
    2,234.98x = 3,350.80 × 1,357.68
  4. Step 4: Simplify right side
    2,234.98x = 4,549,314.14
  5. Step 5: Solve for x
    x = 4,549,314.14/2,234.98
  6. Step 6: Final answer
    x = 2,035.51

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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.