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Finding the Fourth Proportional to 2,310.84, 3,187.50 and 2,016.84

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Solution

The fourth proportional to 2,310.84, 3,187.50 and 2,016.84 is: 2,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.84 : 3,187.50 = 2,016.84 : x
  2. Step 2: Convert to fraction form
    2,310.84/3,187.50 = 2,016.84/x
  3. Step 3: Cross multiply
    2,310.84x = 3,187.50 × 2,016.84
  4. Step 4: Simplify right side
    2,310.84x = 6,428,677.50
  5. Step 5: Solve for x
    x = 6,428,677.50/2,310.84
  6. Step 6: Final answer
    x = 2,781.97

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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.