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Finding the Fourth Proportional to 2,165.69, 2,988.46 and 1,221.23

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Solution

The fourth proportional to 2,165.69, 2,988.46 and 1,221.23 is: 1,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.69 : 2,988.46 = 1,221.23 : x
  2. Step 2: Convert to fraction form
    2,165.69/2,988.46 = 1,221.23/x
  3. Step 3: Cross multiply
    2,165.69x = 2,988.46 × 1,221.23
  4. Step 4: Simplify right side
    2,165.69x = 3,649,606.00
  5. Step 5: Solve for x
    x = 3,649,606.00/2,165.69
  6. Step 6: Final answer
    x = 1,685.19

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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.