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Finding the Fourth Proportional to 1,636.13, 2,257.90 and 890.15

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Solution

The fourth proportional to 1,636.13, 2,257.90 and 890.15 is: 1,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.13 : 2,257.90 = 890.15 : x
  2. Step 2: Convert to fraction form
    1,636.13/2,257.90 = 890.15/x
  3. Step 3: Cross multiply
    1,636.13x = 2,257.90 × 890.15
  4. Step 4: Simplify right side
    1,636.13x = 2,009,856.17
  5. Step 5: Solve for x
    x = 2,009,856.17/1,636.13
  6. Step 6: Final answer
    x = 1,228.42

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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.