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Finding the Fourth Proportional to 1,446.81, 1,997.52 and 1,004.55

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Solution

The fourth proportional to 1,446.81, 1,997.52 and 1,004.55 is: 1,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.81 : 1,997.52 = 1,004.55 : x
  2. Step 2: Convert to fraction form
    1,446.81/1,997.52 = 1,004.55/x
  3. Step 3: Cross multiply
    1,446.81x = 1,997.52 × 1,004.55
  4. Step 4: Simplify right side
    1,446.81x = 2,006,608.72
  5. Step 5: Solve for x
    x = 2,006,608.72/1,446.81
  6. Step 6: Final answer
    x = 1,386.92

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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.