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Finding the Fourth Proportional to 2,165.74, 2,988.75 and 1,221.57

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Solution

The fourth proportional to 2,165.74, 2,988.75 and 1,221.57 is: 1,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 2,988.75 = 1,221.57 : x
  2. Step 2: Convert to fraction form
    2,165.74/2,988.75 = 1,221.57/x
  3. Step 3: Cross multiply
    2,165.74x = 2,988.75 × 1,221.57
  4. Step 4: Simplify right side
    2,165.74x = 3,650,960.84
  5. Step 5: Solve for x
    x = 3,650,960.84/2,165.74
  6. Step 6: Final answer
    x = 1,685.78

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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.