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Finding the Fourth Proportional to 3,041.89, 4,198.70 and 1,783.22

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Solution

The fourth proportional to 3,041.89, 4,198.70 and 1,783.22 is: 2,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.89 : 4,198.70 = 1,783.22 : x
  2. Step 2: Convert to fraction form
    3,041.89/4,198.70 = 1,783.22/x
  3. Step 3: Cross multiply
    3,041.89x = 4,198.70 × 1,783.22
  4. Step 4: Simplify right side
    3,041.89x = 7,487,189.28
  5. Step 5: Solve for x
    x = 7,487,189.28/3,041.89
  6. Step 6: Final answer
    x = 2,461.36

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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.