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Finding the Fourth Proportional to 1,640.66, 2,264.00 and 894.58

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Solution

The fourth proportional to 1,640.66, 2,264.00 and 894.58 is: 1,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.66 : 2,264.00 = 894.58 : x
  2. Step 2: Convert to fraction form
    1,640.66/2,264.00 = 894.58/x
  3. Step 3: Cross multiply
    1,640.66x = 2,264.00 × 894.58
  4. Step 4: Simplify right side
    1,640.66x = 2,025,325.70
  5. Step 5: Solve for x
    x = 2,025,325.70/1,640.66
  6. Step 6: Final answer
    x = 1,234.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.