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Finding the Fourth Proportional to 2,019.78, 3,029.13 and 558.81

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Solution

The fourth proportional to 2,019.78, 3,029.13 and 558.81 is: 838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.78 : 3,029.13 = 558.81 : x
  2. Step 2: Convert to fraction form
    2,019.78/3,029.13 = 558.81/x
  3. Step 3: Cross multiply
    2,019.78x = 3,029.13 × 558.81
  4. Step 4: Simplify right side
    2,019.78x = 1,692,708.14
  5. Step 5: Solve for x
    x = 1,692,708.14/2,019.78
  6. Step 6: Final answer
    x = 838.07

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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.