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Finding the Fourth Proportional to 4,146.96, 6,220.40 and 1,225.22

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Solution

The fourth proportional to 4,146.96, 6,220.40 and 1,225.22 is: 1,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.96 : 6,220.40 = 1,225.22 : x
  2. Step 2: Convert to fraction form
    4,146.96/6,220.40 = 1,225.22/x
  3. Step 3: Cross multiply
    4,146.96x = 6,220.40 × 1,225.22
  4. Step 4: Simplify right side
    4,146.96x = 7,621,358.49
  5. Step 5: Solve for x
    x = 7,621,358.49/4,146.96
  6. Step 6: Final answer
    x = 1,837.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.