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Finding the Fourth Proportional to 2,843.99, 3,922.25 and 1,848.90

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Solution

The fourth proportional to 2,843.99, 3,922.25 and 1,848.90 is: 2,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.99 : 3,922.25 = 1,848.90 : x
  2. Step 2: Convert to fraction form
    2,843.99/3,922.25 = 1,848.90/x
  3. Step 3: Cross multiply
    2,843.99x = 3,922.25 × 1,848.90
  4. Step 4: Simplify right side
    2,843.99x = 7,251,838.78
  5. Step 5: Solve for x
    x = 7,251,838.78/2,843.99
  6. Step 6: Final answer
    x = 2,549.89

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1.5x scale

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.