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Finding the Fourth Proportional to 2,067.64, 3,101.46 and 913.08

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Solution

The fourth proportional to 2,067.64, 3,101.46 and 913.08 is: 1,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.64 : 3,101.46 = 913.08 : x
  2. Step 2: Convert to fraction form
    2,067.64/3,101.46 = 913.08/x
  3. Step 3: Cross multiply
    2,067.64x = 3,101.46 × 913.08
  4. Step 4: Simplify right side
    2,067.64x = 2,831,881.10
  5. Step 5: Solve for x
    x = 2,831,881.10/2,067.64
  6. Step 6: Final answer
    x = 1,369.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.