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Finding the Fourth Proportional to 2,165.97, 2,988.93 and 1,221.74

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Solution

The fourth proportional to 2,165.97, 2,988.93 and 1,221.74 is: 1,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.97 : 2,988.93 = 1,221.74 : x
  2. Step 2: Convert to fraction form
    2,165.97/2,988.93 = 1,221.74/x
  3. Step 3: Cross multiply
    2,165.97x = 2,988.93 × 1,221.74
  4. Step 4: Simplify right side
    2,165.97x = 3,651,695.34
  5. Step 5: Solve for x
    x = 3,651,695.34/2,165.97
  6. Step 6: Final answer
    x = 1,685.94

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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.