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Finding the Fourth Proportional to 2,535.72, 3,499.23 and 1,649.85

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Solution

The fourth proportional to 2,535.72, 3,499.23 and 1,649.85 is: 2,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.72 : 3,499.23 = 1,649.85 : x
  2. Step 2: Convert to fraction form
    2,535.72/3,499.23 = 1,649.85/x
  3. Step 3: Cross multiply
    2,535.72x = 3,499.23 × 1,649.85
  4. Step 4: Simplify right side
    2,535.72x = 5,773,204.62
  5. Step 5: Solve for x
    x = 5,773,204.62/2,535.72
  6. Step 6: Final answer
    x = 2,276.75

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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.