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Finding the Fourth Proportional to 2,886.30, 3,980.61 and 2,255.85

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Solution

The fourth proportional to 2,886.30, 3,980.61 and 2,255.85 is: 3,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.30 : 3,980.61 = 2,255.85 : x
  2. Step 2: Convert to fraction form
    2,886.30/3,980.61 = 2,255.85/x
  3. Step 3: Cross multiply
    2,886.30x = 3,980.61 × 2,255.85
  4. Step 4: Simplify right side
    2,886.30x = 8,979,659.07
  5. Step 5: Solve for x
    x = 8,979,659.07/2,886.30
  6. Step 6: Final answer
    x = 3,111.13

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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.