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Finding the Fourth Proportional to 1,895.76, 2,844 and 921.78

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Solution

The fourth proportional to 1,895.76, 2,844 and 921.78 is: 1,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.76 : 2,844 = 921.78 : x
  2. Step 2: Convert to fraction form
    1,895.76/2,844 = 921.78/x
  3. Step 3: Cross multiply
    1,895.76x = 2,844 × 921.78
  4. Step 4: Simplify right side
    1,895.76x = 2,621,542.32
  5. Step 5: Solve for x
    x = 2,621,542.32/1,895.76
  6. Step 6: Final answer
    x = 1,382.85

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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.