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Finding the Fourth Proportional to 2,821.64, 3,889.24 and 2,261.12

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Solution

The fourth proportional to 2,821.64, 3,889.24 and 2,261.12 is: 3,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 3,889.24 = 2,261.12 : x
  2. Step 2: Convert to fraction form
    2,821.64/3,889.24 = 2,261.12/x
  3. Step 3: Cross multiply
    2,821.64x = 3,889.24 × 2,261.12
  4. Step 4: Simplify right side
    2,821.64x = 8,794,038.35
  5. Step 5: Solve for x
    x = 8,794,038.35/2,821.64
  6. Step 6: Final answer
    x = 3,116.64

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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.