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Finding the Fourth Proportional to 2,230.13, 3,344.91 and 586.82

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Solution

The fourth proportional to 2,230.13, 3,344.91 and 586.82 is: 880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.13 : 3,344.91 = 586.82 : x
  2. Step 2: Convert to fraction form
    2,230.13/3,344.91 = 586.82/x
  3. Step 3: Cross multiply
    2,230.13x = 3,344.91 × 586.82
  4. Step 4: Simplify right side
    2,230.13x = 1,962,843.36
  5. Step 5: Solve for x
    x = 1,962,843.36/2,230.13
  6. Step 6: Final answer
    x = 880.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.