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Finding the Fourth Proportional to 1,735.80, 2,394.96 and 1,649.55

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Solution

The fourth proportional to 1,735.80, 2,394.96 and 1,649.55 is: 2,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.80 : 2,394.96 = 1,649.55 : x
  2. Step 2: Convert to fraction form
    1,735.80/2,394.96 = 1,649.55/x
  3. Step 3: Cross multiply
    1,735.80x = 2,394.96 × 1,649.55
  4. Step 4: Simplify right side
    1,735.80x = 3,950,606.27
  5. Step 5: Solve for x
    x = 3,950,606.27/1,735.80
  6. Step 6: Final answer
    x = 2,275.96

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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.