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Finding the Fourth Proportional to 1,640.61, 2,264.07 and 894.57

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Solution

The fourth proportional to 1,640.61, 2,264.07 and 894.57 is: 1,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.61 : 2,264.07 = 894.57 : x
  2. Step 2: Convert to fraction form
    1,640.61/2,264.07 = 894.57/x
  3. Step 3: Cross multiply
    1,640.61x = 2,264.07 × 894.57
  4. Step 4: Simplify right side
    1,640.61x = 2,025,365.30
  5. Step 5: Solve for x
    x = 2,025,365.30/1,640.61
  6. Step 6: Final answer
    x = 1,234.52

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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.