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Finding the Fourth Proportional to 2,116.98, 3,168.99 and 1,567.80

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Solution

The fourth proportional to 2,116.98, 3,168.99 and 1,567.80 is: 2,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.98 : 3,168.99 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    2,116.98/3,168.99 = 1,567.80/x
  3. Step 3: Cross multiply
    2,116.98x = 3,168.99 × 1,567.80
  4. Step 4: Simplify right side
    2,116.98x = 4,968,342.52
  5. Step 5: Solve for x
    x = 4,968,342.52/2,116.98
  6. Step 6: Final answer
    x = 2,346.90

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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.