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Finding the Fourth Proportional to 4,146.84, 6,220.71 and 1,225.15

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Solution

The fourth proportional to 4,146.84, 6,220.71 and 1,225.15 is: 1,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.84 : 6,220.71 = 1,225.15 : x
  2. Step 2: Convert to fraction form
    4,146.84/6,220.71 = 1,225.15/x
  3. Step 3: Cross multiply
    4,146.84x = 6,220.71 × 1,225.15
  4. Step 4: Simplify right side
    4,146.84x = 7,621,287.30
  5. Step 5: Solve for x
    x = 7,621,287.30/4,146.84
  6. Step 6: Final answer
    x = 1,837.85

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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.