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Finding the Fourth Proportional to 2,225.47, 3,071.17 and 1,217.21

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Solution

The fourth proportional to 2,225.47, 3,071.17 and 1,217.21 is: 1,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.47 : 3,071.17 = 1,217.21 : x
  2. Step 2: Convert to fraction form
    2,225.47/3,071.17 = 1,217.21/x
  3. Step 3: Cross multiply
    2,225.47x = 3,071.17 × 1,217.21
  4. Step 4: Simplify right side
    2,225.47x = 3,738,258.84
  5. Step 5: Solve for x
    x = 3,738,258.84/2,225.47
  6. Step 6: Final answer
    x = 1,679.76

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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.