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Finding the Fourth Proportional to 2,969.56, 4,097.22 and 2,225.96

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Solution

The fourth proportional to 2,969.56, 4,097.22 and 2,225.96 is: 3,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.56 : 4,097.22 = 2,225.96 : x
  2. Step 2: Convert to fraction form
    2,969.56/4,097.22 = 2,225.96/x
  3. Step 3: Cross multiply
    2,969.56x = 4,097.22 × 2,225.96
  4. Step 4: Simplify right side
    2,969.56x = 9,120,247.83
  5. Step 5: Solve for x
    x = 9,120,247.83/2,969.56
  6. Step 6: Final answer
    x = 3,071.25

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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.