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Finding the Fourth Proportional to 3,111.44, 4,665.80 and 1,650.24

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Solution

The fourth proportional to 3,111.44, 4,665.80 and 1,650.24 is: 2,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.44 : 4,665.80 = 1,650.24 : x
  2. Step 2: Convert to fraction form
    3,111.44/4,665.80 = 1,650.24/x
  3. Step 3: Cross multiply
    3,111.44x = 4,665.80 × 1,650.24
  4. Step 4: Simplify right side
    3,111.44x = 7,699,689.79
  5. Step 5: Solve for x
    x = 7,699,689.79/3,111.44
  6. Step 6: Final answer
    x = 2,474.64

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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.