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Finding the Fourth Proportional to 2,024.82, 3,036.03 and 775.49

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Solution

The fourth proportional to 2,024.82, 3,036.03 and 775.49 is: 1,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.82 : 3,036.03 = 775.49 : x
  2. Step 2: Convert to fraction form
    2,024.82/3,036.03 = 775.49/x
  3. Step 3: Cross multiply
    2,024.82x = 3,036.03 × 775.49
  4. Step 4: Simplify right side
    2,024.82x = 2,354,395.72
  5. Step 5: Solve for x
    x = 2,354,395.72/2,024.82
  6. Step 6: Final answer
    x = 1,162.77

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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.