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Finding the Fourth Proportional to 2,886.98, 3,980.75 and 2,355.28

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Solution

The fourth proportional to 2,886.98, 3,980.75 and 2,355.28 is: 3,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.98 : 3,980.75 = 2,355.28 : x
  2. Step 2: Convert to fraction form
    2,886.98/3,980.75 = 2,355.28/x
  3. Step 3: Cross multiply
    2,886.98x = 3,980.75 × 2,355.28
  4. Step 4: Simplify right side
    2,886.98x = 9,375,759.13
  5. Step 5: Solve for x
    x = 9,375,759.13/2,886.98
  6. Step 6: Final answer
    x = 3,247.61

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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.