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Finding the Fourth Proportional to 1,921, 2,882.78 and 705

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Solution

The fourth proportional to 1,921, 2,882.78 and 705 is: 1,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921 : 2,882.78 = 705 : x
  2. Step 2: Convert to fraction form
    1,921/2,882.78 = 705/x
  3. Step 3: Cross multiply
    1,921x = 2,882.78 × 705
  4. Step 4: Simplify right side
    1,921x = 2,032,359.90
  5. Step 5: Solve for x
    x = 2,032,359.90/1,921
  6. Step 6: Final answer
    x = 1,057.97

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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.