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Finding the Fourth Proportional to 3,350.70, 4,623.26 and 2,024.14

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Solution

The fourth proportional to 3,350.70, 4,623.26 and 2,024.14 is: 2,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.70 : 4,623.26 = 2,024.14 : x
  2. Step 2: Convert to fraction form
    3,350.70/4,623.26 = 2,024.14/x
  3. Step 3: Cross multiply
    3,350.70x = 4,623.26 × 2,024.14
  4. Step 4: Simplify right side
    3,350.70x = 9,358,115.38
  5. Step 5: Solve for x
    x = 9,358,115.38/3,350.70
  6. Step 6: Final answer
    x = 2,792.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.