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Finding the Fourth Proportional to 2,013.72, 2,777.99 and 1,424.58

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Solution

The fourth proportional to 2,013.72, 2,777.99 and 1,424.58 is: 1,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.72 : 2,777.99 = 1,424.58 : x
  2. Step 2: Convert to fraction form
    2,013.72/2,777.99 = 1,424.58/x
  3. Step 3: Cross multiply
    2,013.72x = 2,777.99 × 1,424.58
  4. Step 4: Simplify right side
    2,013.72x = 3,957,468.99
  5. Step 5: Solve for x
    x = 3,957,468.99/2,013.72
  6. Step 6: Final answer
    x = 1,965.25

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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.