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Finding the Fourth Proportional to 2,867.42, 3,957.99 and 1,749.08

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Solution

The fourth proportional to 2,867.42, 3,957.99 and 1,749.08 is: 2,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.42 : 3,957.99 = 1,749.08 : x
  2. Step 2: Convert to fraction form
    2,867.42/3,957.99 = 1,749.08/x
  3. Step 3: Cross multiply
    2,867.42x = 3,957.99 × 1,749.08
  4. Step 4: Simplify right side
    2,867.42x = 6,922,841.15
  5. Step 5: Solve for x
    x = 6,922,841.15/2,867.42
  6. Step 6: Final answer
    x = 2,414.31

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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.