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Finding the Fourth Proportional to 2,149.44, 3,225.01 and 762.93

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Solution

The fourth proportional to 2,149.44, 3,225.01 and 762.93 is: 1,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.44 : 3,225.01 = 762.93 : x
  2. Step 2: Convert to fraction form
    2,149.44/3,225.01 = 762.93/x
  3. Step 3: Cross multiply
    2,149.44x = 3,225.01 × 762.93
  4. Step 4: Simplify right side
    2,149.44x = 2,460,436.94
  5. Step 5: Solve for x
    x = 2,460,436.94/2,149.44
  6. Step 6: Final answer
    x = 1,144.69

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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.