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Finding the Fourth Proportional to 4,165.60, 6,249.22 and 1,243.84

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Solution

The fourth proportional to 4,165.60, 6,249.22 and 1,243.84 is: 1,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.60 : 6,249.22 = 1,243.84 : x
  2. Step 2: Convert to fraction form
    4,165.60/6,249.22 = 1,243.84/x
  3. Step 3: Cross multiply
    4,165.60x = 6,249.22 × 1,243.84
  4. Step 4: Simplify right side
    4,165.60x = 7,773,029.80
  5. Step 5: Solve for x
    x = 7,773,029.80/4,165.60
  6. Step 6: Final answer
    x = 1,866.00

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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.