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Finding the Fourth Proportional to 2,863.66, 4,295.63 and 890.63

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Solution

The fourth proportional to 2,863.66, 4,295.63 and 890.63 is: 1,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.66 : 4,295.63 = 890.63 : x
  2. Step 2: Convert to fraction form
    2,863.66/4,295.63 = 890.63/x
  3. Step 3: Cross multiply
    2,863.66x = 4,295.63 × 890.63
  4. Step 4: Simplify right side
    2,863.66x = 3,825,831.93
  5. Step 5: Solve for x
    x = 3,825,831.93/2,863.66
  6. Step 6: Final answer
    x = 1,335.99

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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.