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Finding the Fourth Proportional to 3,061.38, 4,224.78 and 1,881.78

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Solution

The fourth proportional to 3,061.38, 4,224.78 and 1,881.78 is: 2,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.38 : 4,224.78 = 1,881.78 : x
  2. Step 2: Convert to fraction form
    3,061.38/4,224.78 = 1,881.78/x
  3. Step 3: Cross multiply
    3,061.38x = 4,224.78 × 1,881.78
  4. Step 4: Simplify right side
    3,061.38x = 7,950,106.51
  5. Step 5: Solve for x
    x = 7,950,106.51/3,061.38
  6. Step 6: Final answer
    x = 2,596.90

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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.