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Finding the Fourth Proportional to 2,019.39, 3,029.06 and 538.76

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Solution

The fourth proportional to 2,019.39, 3,029.06 and 538.76 is: 808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.39 : 3,029.06 = 538.76 : x
  2. Step 2: Convert to fraction form
    2,019.39/3,029.06 = 538.76/x
  3. Step 3: Cross multiply
    2,019.39x = 3,029.06 × 538.76
  4. Step 4: Simplify right side
    2,019.39x = 1,631,918.53
  5. Step 5: Solve for x
    x = 1,631,918.53/2,019.39
  6. Step 6: Final answer
    x = 808.12

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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.