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Finding the Fourth Proportional to 2,163.47, 2,985.59 and 1,168.75

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Solution

The fourth proportional to 2,163.47, 2,985.59 and 1,168.75 is: 1,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.47 : 2,985.59 = 1,168.75 : x
  2. Step 2: Convert to fraction form
    2,163.47/2,985.59 = 1,168.75/x
  3. Step 3: Cross multiply
    2,163.47x = 2,985.59 × 1,168.75
  4. Step 4: Simplify right side
    2,163.47x = 3,489,401.58
  5. Step 5: Solve for x
    x = 3,489,401.58/2,163.47
  6. Step 6: Final answer
    x = 1,612.87

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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.