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Finding the Fourth Proportional to 2,379.06, 3,567.42 and 991.98

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Solution

The fourth proportional to 2,379.06, 3,567.42 and 991.98 is: 1,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.06 : 3,567.42 = 991.98 : x
  2. Step 2: Convert to fraction form
    2,379.06/3,567.42 = 991.98/x
  3. Step 3: Cross multiply
    2,379.06x = 3,567.42 × 991.98
  4. Step 4: Simplify right side
    2,379.06x = 3,538,809.29
  5. Step 5: Solve for x
    x = 3,538,809.29/2,379.06
  6. Step 6: Final answer
    x = 1,487.48

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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.