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Finding the Fourth Proportional to 2,061.77, 3,092.66 and 907.52

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Solution

The fourth proportional to 2,061.77, 3,092.66 and 907.52 is: 1,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.77 : 3,092.66 = 907.52 : x
  2. Step 2: Convert to fraction form
    2,061.77/3,092.66 = 907.52/x
  3. Step 3: Cross multiply
    2,061.77x = 3,092.66 × 907.52
  4. Step 4: Simplify right side
    2,061.77x = 2,806,662.85
  5. Step 5: Solve for x
    x = 2,806,662.85/2,061.77
  6. Step 6: Final answer
    x = 1,361.29

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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.