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Finding the Fourth Proportional to 2,596, 3,894.38 and 840.42

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Solution

The fourth proportional to 2,596, 3,894.38 and 840.42 is: 1,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,894.38 = 840.42 : x
  2. Step 2: Convert to fraction form
    2,596/3,894.38 = 840.42/x
  3. Step 3: Cross multiply
    2,596x = 3,894.38 × 840.42
  4. Step 4: Simplify right side
    2,596x = 3,272,914.84
  5. Step 5: Solve for x
    x = 3,272,914.84/2,596
  6. Step 6: Final answer
    x = 1,260.75

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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.