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Finding the Fourth Proportional to 1,965.61, 2,945.98 and 991.99

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Solution

The fourth proportional to 1,965.61, 2,945.98 and 991.99 is: 1,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.61 : 2,945.98 = 991.99 : x
  2. Step 2: Convert to fraction form
    1,965.61/2,945.98 = 991.99/x
  3. Step 3: Cross multiply
    1,965.61x = 2,945.98 × 991.99
  4. Step 4: Simplify right side
    1,965.61x = 2,922,382.70
  5. Step 5: Solve for x
    x = 2,922,382.70/1,965.61
  6. Step 6: Final answer
    x = 1,486.76

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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.