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Finding the Fourth Proportional to 2,765.59, 4,144.07 and 1,596.31

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Solution

The fourth proportional to 2,765.59, 4,144.07 and 1,596.31 is: 2,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.59 : 4,144.07 = 1,596.31 : x
  2. Step 2: Convert to fraction form
    2,765.59/4,144.07 = 1,596.31/x
  3. Step 3: Cross multiply
    2,765.59x = 4,144.07 × 1,596.31
  4. Step 4: Simplify right side
    2,765.59x = 6,615,212.40
  5. Step 5: Solve for x
    x = 6,615,212.40/2,765.59
  6. Step 6: Final answer
    x = 2,391.97

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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.