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Finding the Fourth Proportional to 2,839.41, 4,259.62 and 965.47

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Solution

The fourth proportional to 2,839.41, 4,259.62 and 965.47 is: 1,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.41 : 4,259.62 = 965.47 : x
  2. Step 2: Convert to fraction form
    2,839.41/4,259.62 = 965.47/x
  3. Step 3: Cross multiply
    2,839.41x = 4,259.62 × 965.47
  4. Step 4: Simplify right side
    2,839.41x = 4,112,545.97
  5. Step 5: Solve for x
    x = 4,112,545.97/2,839.41
  6. Step 6: Final answer
    x = 1,448.38

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1.5x scale

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.