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Finding the Fourth Proportional to 2,596.92, 3,895.37 and 748.05

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Solution

The fourth proportional to 2,596.92, 3,895.37 and 748.05 is: 1,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.92 : 3,895.37 = 748.05 : x
  2. Step 2: Convert to fraction form
    2,596.92/3,895.37 = 748.05/x
  3. Step 3: Cross multiply
    2,596.92x = 3,895.37 × 748.05
  4. Step 4: Simplify right side
    2,596.92x = 2,913,927.79
  5. Step 5: Solve for x
    x = 2,913,927.79/2,596.92
  6. Step 6: Final answer
    x = 1,122.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.