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Finding the Fourth Proportional to 2,019.93, 3,030.84 and 1,199.82

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Solution

The fourth proportional to 2,019.93, 3,030.84 and 1,199.82 is: 1,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.93 : 3,030.84 = 1,199.82 : x
  2. Step 2: Convert to fraction form
    2,019.93/3,030.84 = 1,199.82/x
  3. Step 3: Cross multiply
    2,019.93x = 3,030.84 × 1,199.82
  4. Step 4: Simplify right side
    2,019.93x = 3,636,462.45
  5. Step 5: Solve for x
    x = 3,636,462.45/2,019.93
  6. Step 6: Final answer
    x = 1,800.29

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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.