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Finding the Fourth Proportional to 1,917.98, 2,879.66 and 981.59

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Solution

The fourth proportional to 1,917.98, 2,879.66 and 981.59 is: 1,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.98 : 2,879.66 = 981.59 : x
  2. Step 2: Convert to fraction form
    1,917.98/2,879.66 = 981.59/x
  3. Step 3: Cross multiply
    1,917.98x = 2,879.66 × 981.59
  4. Step 4: Simplify right side
    1,917.98x = 2,826,646.03
  5. Step 5: Solve for x
    x = 2,826,646.03/1,917.98
  6. Step 6: Final answer
    x = 1,473.76

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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.