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Finding the Fourth Proportional to 2,252.71, 3,379.06 and 1,019.89

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Solution

The fourth proportional to 2,252.71, 3,379.06 and 1,019.89 is: 1,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.71 : 3,379.06 = 1,019.89 : x
  2. Step 2: Convert to fraction form
    2,252.71/3,379.06 = 1,019.89/x
  3. Step 3: Cross multiply
    2,252.71x = 3,379.06 × 1,019.89
  4. Step 4: Simplify right side
    2,252.71x = 3,446,252.61
  5. Step 5: Solve for x
    x = 3,446,252.61/2,252.71
  6. Step 6: Final answer
    x = 1,529.83

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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.