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Finding the Fourth Proportional to 1,976.99, 2,965.49 and 1,856.70

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Solution

The fourth proportional to 1,976.99, 2,965.49 and 1,856.70 is: 2,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.99 : 2,965.49 = 1,856.70 : x
  2. Step 2: Convert to fraction form
    1,976.99/2,965.49 = 1,856.70/x
  3. Step 3: Cross multiply
    1,976.99x = 2,965.49 × 1,856.70
  4. Step 4: Simplify right side
    1,976.99x = 5,506,016.00
  5. Step 5: Solve for x
    x = 5,506,016.00/1,976.99
  6. Step 6: Final answer
    x = 2,785.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.