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Finding the Fourth Proportional to 2,839.99, 4,260.70 and 991.14

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Solution

The fourth proportional to 2,839.99, 4,260.70 and 991.14 is: 1,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.99 : 4,260.70 = 991.14 : x
  2. Step 2: Convert to fraction form
    2,839.99/4,260.70 = 991.14/x
  3. Step 3: Cross multiply
    2,839.99x = 4,260.70 × 991.14
  4. Step 4: Simplify right side
    2,839.99x = 4,222,935.46
  5. Step 5: Solve for x
    x = 4,222,935.46/2,839.99
  6. Step 6: Final answer
    x = 1,486.96

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Similar ratio
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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.