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Finding the Fourth Proportional to 3,266.37, 4,506.50 and 1,849.91

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Solution

The fourth proportional to 3,266.37, 4,506.50 and 1,849.91 is: 2,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.37 : 4,506.50 = 1,849.91 : x
  2. Step 2: Convert to fraction form
    3,266.37/4,506.50 = 1,849.91/x
  3. Step 3: Cross multiply
    3,266.37x = 4,506.50 × 1,849.91
  4. Step 4: Simplify right side
    3,266.37x = 8,336,635.31
  5. Step 5: Solve for x
    x = 8,336,635.31/3,266.37
  6. Step 6: Final answer
    x = 2,552.26

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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.