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Finding the Fourth Proportional to 1,640.03, 2,263.24 and 893.99

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Solution

The fourth proportional to 1,640.03, 2,263.24 and 893.99 is: 1,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.03 : 2,263.24 = 893.99 : x
  2. Step 2: Convert to fraction form
    1,640.03/2,263.24 = 893.99/x
  3. Step 3: Cross multiply
    1,640.03x = 2,263.24 × 893.99
  4. Step 4: Simplify right side
    1,640.03x = 2,023,302.94
  5. Step 5: Solve for x
    x = 2,023,302.94/1,640.03
  6. Step 6: Final answer
    x = 1,233.70

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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.