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Finding the Fourth Proportional to 3,050.66, 4,576.34 and 1,666

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Solution

The fourth proportional to 3,050.66, 4,576.34 and 1,666 is: 2,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.66 : 4,576.34 = 1,666 : x
  2. Step 2: Convert to fraction form
    3,050.66/4,576.34 = 1,666/x
  3. Step 3: Cross multiply
    3,050.66x = 4,576.34 × 1,666
  4. Step 4: Simplify right side
    3,050.66x = 7,624,182.44
  5. Step 5: Solve for x
    x = 7,624,182.44/3,050.66
  6. Step 6: Final answer
    x = 2,499.19

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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.