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Finding the Fourth Proportional to 2,969.54, 4,094.61 and 2,221.10

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Solution

The fourth proportional to 2,969.54, 4,094.61 and 2,221.10 is: 3,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.54 : 4,094.61 = 2,221.10 : x
  2. Step 2: Convert to fraction form
    2,969.54/4,094.61 = 2,221.10/x
  3. Step 3: Cross multiply
    2,969.54x = 4,094.61 × 2,221.10
  4. Step 4: Simplify right side
    2,969.54x = 9,094,537.10
  5. Step 5: Solve for x
    x = 9,094,537.10/2,969.54
  6. Step 6: Final answer
    x = 3,062.61

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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.