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Finding the Fourth Proportional to 2,105.77, 3,159.79 and 874.03

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Solution

The fourth proportional to 2,105.77, 3,159.79 and 874.03 is: 1,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.77 : 3,159.79 = 874.03 : x
  2. Step 2: Convert to fraction form
    2,105.77/3,159.79 = 874.03/x
  3. Step 3: Cross multiply
    2,105.77x = 3,159.79 × 874.03
  4. Step 4: Simplify right side
    2,105.77x = 2,761,752.01
  5. Step 5: Solve for x
    x = 2,761,752.01/2,105.77
  6. Step 6: Final answer
    x = 1,311.52

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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.