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Finding the Fourth Proportional to 1,594.33, 2,389.06 and 863.17

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Solution

The fourth proportional to 1,594.33, 2,389.06 and 863.17 is: 1,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.33 : 2,389.06 = 863.17 : x
  2. Step 2: Convert to fraction form
    1,594.33/2,389.06 = 863.17/x
  3. Step 3: Cross multiply
    1,594.33x = 2,389.06 × 863.17
  4. Step 4: Simplify right side
    1,594.33x = 2,062,164.92
  5. Step 5: Solve for x
    x = 2,062,164.92/1,594.33
  6. Step 6: Final answer
    x = 1,293.44

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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.