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Finding the Fourth Proportional to 1,446.75, 2,171.64 and 1,036.68

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Solution

The fourth proportional to 1,446.75, 2,171.64 and 1,036.68 is: 1,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.75 : 2,171.64 = 1,036.68 : x
  2. Step 2: Convert to fraction form
    1,446.75/2,171.64 = 1,036.68/x
  3. Step 3: Cross multiply
    1,446.75x = 2,171.64 × 1,036.68
  4. Step 4: Simplify right side
    1,446.75x = 2,251,295.76
  5. Step 5: Solve for x
    x = 2,251,295.76/1,446.75
  6. Step 6: Final answer
    x = 1,556.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.