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Finding the Fourth Proportional to 2,873.47, 3,965.77 and 1,614.64

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Solution

The fourth proportional to 2,873.47, 3,965.77 and 1,614.64 is: 2,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.47 : 3,965.77 = 1,614.64 : x
  2. Step 2: Convert to fraction form
    2,873.47/3,965.77 = 1,614.64/x
  3. Step 3: Cross multiply
    2,873.47x = 3,965.77 × 1,614.64
  4. Step 4: Simplify right side
    2,873.47x = 6,403,290.87
  5. Step 5: Solve for x
    x = 6,403,290.87/2,873.47
  6. Step 6: Final answer
    x = 2,228.42

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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.