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Finding the Fourth Proportional to 2,225.53, 3,071.14 and 1,217.24

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Solution

The fourth proportional to 2,225.53, 3,071.14 and 1,217.24 is: 1,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.53 : 3,071.14 = 1,217.24 : x
  2. Step 2: Convert to fraction form
    2,225.53/3,071.14 = 1,217.24/x
  3. Step 3: Cross multiply
    2,225.53x = 3,071.14 × 1,217.24
  4. Step 4: Simplify right side
    2,225.53x = 3,738,314.45
  5. Step 5: Solve for x
    x = 3,738,314.45/2,225.53
  6. Step 6: Final answer
    x = 1,679.74

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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.