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Finding the Fourth Proportional to 1,435.43, 1,982.06 and 1,169.91

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Solution

The fourth proportional to 1,435.43, 1,982.06 and 1,169.91 is: 1,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.43 : 1,982.06 = 1,169.91 : x
  2. Step 2: Convert to fraction form
    1,435.43/1,982.06 = 1,169.91/x
  3. Step 3: Cross multiply
    1,435.43x = 1,982.06 × 1,169.91
  4. Step 4: Simplify right side
    1,435.43x = 2,318,831.81
  5. Step 5: Solve for x
    x = 2,318,831.81/1,435.43
  6. Step 6: Final answer
    x = 1,615.43

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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.