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Finding the Fourth Proportional to 2,019.37, 2,784.21 and 1,519.87

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Solution

The fourth proportional to 2,019.37, 2,784.21 and 1,519.87 is: 2,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.37 : 2,784.21 = 1,519.87 : x
  2. Step 2: Convert to fraction form
    2,019.37/2,784.21 = 1,519.87/x
  3. Step 3: Cross multiply
    2,019.37x = 2,784.21 × 1,519.87
  4. Step 4: Simplify right side
    2,019.37x = 4,231,637.25
  5. Step 5: Solve for x
    x = 4,231,637.25/2,019.37
  6. Step 6: Final answer
    x = 2,095.52

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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.