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Finding the Fourth Proportional to 2,229.96, 3,344.96 and 586.67

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Solution

The fourth proportional to 2,229.96, 3,344.96 and 586.67 is: 880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.96 : 3,344.96 = 586.67 : x
  2. Step 2: Convert to fraction form
    2,229.96/3,344.96 = 586.67/x
  3. Step 3: Cross multiply
    2,229.96x = 3,344.96 × 586.67
  4. Step 4: Simplify right side
    2,229.96x = 1,962,393.11
  5. Step 5: Solve for x
    x = 1,962,393.11/2,229.96
  6. Step 6: Final answer
    x = 880.01

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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.