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Finding the Fourth Proportional to 1,636.67, 2,258.65 and 890.66

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Solution

The fourth proportional to 1,636.67, 2,258.65 and 890.66 is: 1,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.67 : 2,258.65 = 890.66 : x
  2. Step 2: Convert to fraction form
    1,636.67/2,258.65 = 890.66/x
  3. Step 3: Cross multiply
    1,636.67x = 2,258.65 × 890.66
  4. Step 4: Simplify right side
    1,636.67x = 2,011,695.97
  5. Step 5: Solve for x
    x = 2,011,695.97/1,636.67
  6. Step 6: Final answer
    x = 1,229.14

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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.