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Finding the Fourth Proportional to 1,895.24, 2,843.28 and 741

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Solution

The fourth proportional to 1,895.24, 2,843.28 and 741 is: 1,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.24 : 2,843.28 = 741 : x
  2. Step 2: Convert to fraction form
    1,895.24/2,843.28 = 741/x
  3. Step 3: Cross multiply
    1,895.24x = 2,843.28 × 741
  4. Step 4: Simplify right side
    1,895.24x = 2,106,870.48
  5. Step 5: Solve for x
    x = 2,106,870.48/1,895.24
  6. Step 6: Final answer
    x = 1,111.66

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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.