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Finding the Fourth Proportional to 2,200.77, 3,031.69 and 1,885

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Solution

The fourth proportional to 2,200.77, 3,031.69 and 1,885 is: 2,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.77 : 3,031.69 = 1,885 : x
  2. Step 2: Convert to fraction form
    2,200.77/3,031.69 = 1,885/x
  3. Step 3: Cross multiply
    2,200.77x = 3,031.69 × 1,885
  4. Step 4: Simplify right side
    2,200.77x = 5,714,735.65
  5. Step 5: Solve for x
    x = 5,714,735.65/2,200.77
  6. Step 6: Final answer
    x = 2,596.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.