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Finding the Fourth Proportional to 4,141.67, 6,213.51 and 1,220.00

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Solution

The fourth proportional to 4,141.67, 6,213.51 and 1,220.00 is: 1,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.67 : 6,213.51 = 1,220.00 : x
  2. Step 2: Convert to fraction form
    4,141.67/6,213.51 = 1,220.00/x
  3. Step 3: Cross multiply
    4,141.67x = 6,213.51 × 1,220.00
  4. Step 4: Simplify right side
    4,141.67x = 7,580,451.13
  5. Step 5: Solve for x
    x = 7,580,451.13/4,141.67
  6. Step 6: Final answer
    x = 1,830.29

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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.