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Finding the Fourth Proportional to 2,067.73, 3,101.53 and 507.72

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Solution

The fourth proportional to 2,067.73, 3,101.53 and 507.72 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.73 : 3,101.53 = 507.72 : x
  2. Step 2: Convert to fraction form
    2,067.73/3,101.53 = 507.72/x
  3. Step 3: Cross multiply
    2,067.73x = 3,101.53 × 507.72
  4. Step 4: Simplify right side
    2,067.73x = 1,574,708.81
  5. Step 5: Solve for x
    x = 1,574,708.81/2,067.73
  6. Step 6: Final answer
    x = 761.56

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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.