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Finding the Fourth Proportional to 2,049.37, 3,073.75 and 750.84

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Solution

The fourth proportional to 2,049.37, 3,073.75 and 750.84 is: 1,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.37 : 3,073.75 = 750.84 : x
  2. Step 2: Convert to fraction form
    2,049.37/3,073.75 = 750.84/x
  3. Step 3: Cross multiply
    2,049.37x = 3,073.75 × 750.84
  4. Step 4: Simplify right side
    2,049.37x = 2,307,881.05
  5. Step 5: Solve for x
    x = 2,307,881.05/2,049.37
  6. Step 6: Final answer
    x = 1,126.14

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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.