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Finding the Fourth Proportional to 2,165.78, 2,988.63 and 1,221.60

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Solution

The fourth proportional to 2,165.78, 2,988.63 and 1,221.60 is: 1,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.78 : 2,988.63 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    2,165.78/2,988.63 = 1,221.60/x
  3. Step 3: Cross multiply
    2,165.78x = 2,988.63 × 1,221.60
  4. Step 4: Simplify right side
    2,165.78x = 3,650,921.62
  5. Step 5: Solve for x
    x = 3,650,921.62/2,165.78
  6. Step 6: Final answer
    x = 1,685.73

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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.