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Finding the Fourth Proportional to 2,067.53, 3,099.87 and 972

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Solution

The fourth proportional to 2,067.53, 3,099.87 and 972 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.53 : 3,099.87 = 972 : x
  2. Step 2: Convert to fraction form
    2,067.53/3,099.87 = 972/x
  3. Step 3: Cross multiply
    2,067.53x = 3,099.87 × 972
  4. Step 4: Simplify right side
    2,067.53x = 3,013,073.64
  5. Step 5: Solve for x
    x = 3,013,073.64/2,067.53
  6. Step 6: Final answer
    x = 1,457.33

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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.