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Finding the Fourth Proportional to 1,971.11, 2,951.20 and 995.18

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Solution

The fourth proportional to 1,971.11, 2,951.20 and 995.18 is: 1,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.11 : 2,951.20 = 995.18 : x
  2. Step 2: Convert to fraction form
    1,971.11/2,951.20 = 995.18/x
  3. Step 3: Cross multiply
    1,971.11x = 2,951.20 × 995.18
  4. Step 4: Simplify right side
    1,971.11x = 2,936,961.70
  5. Step 5: Solve for x
    x = 2,936,961.70/1,971.11
  6. Step 6: Final answer
    x = 1,490.00

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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.