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Finding the Fourth Proportional to 2,067.52, 3,102.72 and 912.64

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Solution

The fourth proportional to 2,067.52, 3,102.72 and 912.64 is: 1,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.52 : 3,102.72 = 912.64 : x
  2. Step 2: Convert to fraction form
    2,067.52/3,102.72 = 912.64/x
  3. Step 3: Cross multiply
    2,067.52x = 3,102.72 × 912.64
  4. Step 4: Simplify right side
    2,067.52x = 2,831,666.38
  5. Step 5: Solve for x
    x = 2,831,666.38/2,067.52
  6. Step 6: Final answer
    x = 1,369.60

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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.