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Finding the Fourth Proportional to 1,962.15, 2,922.28 and 1,939.47

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Solution

The fourth proportional to 1,962.15, 2,922.28 and 1,939.47 is: 2,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.15 : 2,922.28 = 1,939.47 : x
  2. Step 2: Convert to fraction form
    1,962.15/2,922.28 = 1,939.47/x
  3. Step 3: Cross multiply
    1,962.15x = 2,922.28 × 1,939.47
  4. Step 4: Simplify right side
    1,962.15x = 5,667,669.54
  5. Step 5: Solve for x
    x = 5,667,669.54/1,962.15
  6. Step 6: Final answer
    x = 2,888.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.