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Finding the Fourth Proportional to 1,636.47, 2,258.34 and 890.43

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Solution

The fourth proportional to 1,636.47, 2,258.34 and 890.43 is: 1,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.47 : 2,258.34 = 890.43 : x
  2. Step 2: Convert to fraction form
    1,636.47/2,258.34 = 890.43/x
  3. Step 3: Cross multiply
    1,636.47x = 2,258.34 × 890.43
  4. Step 4: Simplify right side
    1,636.47x = 2,010,893.69
  5. Step 5: Solve for x
    x = 2,010,893.69/1,636.47
  6. Step 6: Final answer
    x = 1,228.80

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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.