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Finding the Fourth Proportional to 2,019.14, 3,028.77 and 558.30

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Solution

The fourth proportional to 2,019.14, 3,028.77 and 558.30 is: 837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.14 : 3,028.77 = 558.30 : x
  2. Step 2: Convert to fraction form
    2,019.14/3,028.77 = 558.30/x
  3. Step 3: Cross multiply
    2,019.14x = 3,028.77 × 558.30
  4. Step 4: Simplify right side
    2,019.14x = 1,690,962.29
  5. Step 5: Solve for x
    x = 1,690,962.29/2,019.14
  6. Step 6: Final answer
    x = 837.47

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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.