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Finding the Fourth Proportional to 1,636.50, 2,258.31 and 890.46

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Solution

The fourth proportional to 1,636.50, 2,258.31 and 890.46 is: 1,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.50 : 2,258.31 = 890.46 : x
  2. Step 2: Convert to fraction form
    1,636.50/2,258.31 = 890.46/x
  3. Step 3: Cross multiply
    1,636.50x = 2,258.31 × 890.46
  4. Step 4: Simplify right side
    1,636.50x = 2,010,934.72
  5. Step 5: Solve for x
    x = 2,010,934.72/1,636.50
  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.