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Finding the Fourth Proportional to 2,209.23, 3,312.99 and 747.99

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Solution

The fourth proportional to 2,209.23, 3,312.99 and 747.99 is: 1,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.23 : 3,312.99 = 747.99 : x
  2. Step 2: Convert to fraction form
    2,209.23/3,312.99 = 747.99/x
  3. Step 3: Cross multiply
    2,209.23x = 3,312.99 × 747.99
  4. Step 4: Simplify right side
    2,209.23x = 2,478,083.39
  5. Step 5: Solve for x
    x = 2,478,083.39/2,209.23
  6. Step 6: Final answer
    x = 1,121.70

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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.