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Finding the Fourth Proportional to 3,047.46, 4,205.52 and 1,650.21

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Solution

The fourth proportional to 3,047.46, 4,205.52 and 1,650.21 is: 2,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.46 : 4,205.52 = 1,650.21 : x
  2. Step 2: Convert to fraction form
    3,047.46/4,205.52 = 1,650.21/x
  3. Step 3: Cross multiply
    3,047.46x = 4,205.52 × 1,650.21
  4. Step 4: Simplify right side
    3,047.46x = 6,939,982.91
  5. Step 5: Solve for x
    x = 6,939,982.91/3,047.46
  6. Step 6: Final answer
    x = 2,277.30

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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.