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Finding the Fourth Proportional to 1,596.34, 2,389.69 and 863.69

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Solution

The fourth proportional to 1,596.34, 2,389.69 and 863.69 is: 1,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.34 : 2,389.69 = 863.69 : x
  2. Step 2: Convert to fraction form
    1,596.34/2,389.69 = 863.69/x
  3. Step 3: Cross multiply
    1,596.34x = 2,389.69 × 863.69
  4. Step 4: Simplify right side
    1,596.34x = 2,063,955.17
  5. Step 5: Solve for x
    x = 2,063,955.17/1,596.34
  6. Step 6: Final answer
    x = 1,292.93

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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.