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Finding the Fourth Proportional to 3,187.06, 4,781.46 and 965.80

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Solution

The fourth proportional to 3,187.06, 4,781.46 and 965.80 is: 1,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.06 : 4,781.46 = 965.80 : x
  2. Step 2: Convert to fraction form
    3,187.06/4,781.46 = 965.80/x
  3. Step 3: Cross multiply
    3,187.06x = 4,781.46 × 965.80
  4. Step 4: Simplify right side
    3,187.06x = 4,617,934.07
  5. Step 5: Solve for x
    x = 4,617,934.07/3,187.06
  6. Step 6: Final answer
    x = 1,448.96

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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.