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Finding the Fourth Proportional to 3,047.10, 4,205.00 and 1,649.85

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Solution

The fourth proportional to 3,047.10, 4,205.00 and 1,649.85 is: 2,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.10 : 4,205.00 = 1,649.85 : x
  2. Step 2: Convert to fraction form
    3,047.10/4,205.00 = 1,649.85/x
  3. Step 3: Cross multiply
    3,047.10x = 4,205.00 × 1,649.85
  4. Step 4: Simplify right side
    3,047.10x = 6,937,621.98
  5. Step 5: Solve for x
    x = 6,937,621.98/3,047.10
  6. Step 6: Final answer
    x = 2,276.79

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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.