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Finding the Fourth Proportional to 2,168.61, 2,992.66 and 1,173.88

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Solution

The fourth proportional to 2,168.61, 2,992.66 and 1,173.88 is: 1,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.61 : 2,992.66 = 1,173.88 : x
  2. Step 2: Convert to fraction form
    2,168.61/2,992.66 = 1,173.88/x
  3. Step 3: Cross multiply
    2,168.61x = 2,992.66 × 1,173.88
  4. Step 4: Simplify right side
    2,168.61x = 3,513,023.72
  5. Step 5: Solve for x
    x = 3,513,023.72/2,168.61
  6. Step 6: Final answer
    x = 1,619.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.