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Finding the Fourth Proportional to 2,867.56, 3,957.06 and 1,608.72

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Solution

The fourth proportional to 2,867.56, 3,957.06 and 1,608.72 is: 2,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.56 : 3,957.06 = 1,608.72 : x
  2. Step 2: Convert to fraction form
    2,867.56/3,957.06 = 1,608.72/x
  3. Step 3: Cross multiply
    2,867.56x = 3,957.06 × 1,608.72
  4. Step 4: Simplify right side
    2,867.56x = 6,365,801.56
  5. Step 5: Solve for x
    x = 6,365,801.56/2,867.56
  6. Step 6: Final answer
    x = 2,219.94

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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.