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Finding the Fourth Proportional to 2,596.89, 3,895.32 and 748.01

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Solution

The fourth proportional to 2,596.89, 3,895.32 and 748.01 is: 1,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.89 : 3,895.32 = 748.01 : x
  2. Step 2: Convert to fraction form
    2,596.89/3,895.32 = 748.01/x
  3. Step 3: Cross multiply
    2,596.89x = 3,895.32 × 748.01
  4. Step 4: Simplify right side
    2,596.89x = 2,913,739.90
  5. Step 5: Solve for x
    x = 2,913,739.90/2,596.89
  6. Step 6: Final answer
    x = 1,122.01

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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.