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Finding the Fourth Proportional to 1,471, 2,029.98 and 919

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Solution

The fourth proportional to 1,471, 2,029.98 and 919 is: 1,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471 : 2,029.98 = 919 : x
  2. Step 2: Convert to fraction form
    1,471/2,029.98 = 919/x
  3. Step 3: Cross multiply
    1,471x = 2,029.98 × 919
  4. Step 4: Simplify right side
    1,471x = 1,865,551.62
  5. Step 5: Solve for x
    x = 1,865,551.62/1,471
  6. Step 6: Final answer
    x = 1,268.22

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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.