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Finding the Fourth Proportional to 1,733.72, 2,403.50 and 1,640.16

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Solution

The fourth proportional to 1,733.72, 2,403.50 and 1,640.16 is: 2,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.72 : 2,403.50 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    1,733.72/2,403.50 = 1,640.16/x
  3. Step 3: Cross multiply
    1,733.72x = 2,403.50 × 1,640.16
  4. Step 4: Simplify right side
    1,733.72x = 3,942,116.36
  5. Step 5: Solve for x
    x = 3,942,116.36/1,733.72
  6. Step 6: Final answer
    x = 2,273.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.