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Finding the Fourth Proportional to 2,048.83, 3,073.24 and 749.99

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Solution

The fourth proportional to 2,048.83, 3,073.24 and 749.99 is: 1,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.83 : 3,073.24 = 749.99 : x
  2. Step 2: Convert to fraction form
    2,048.83/3,073.24 = 749.99/x
  3. Step 3: Cross multiply
    2,048.83x = 3,073.24 × 749.99
  4. Step 4: Simplify right side
    2,048.83x = 2,304,907.89
  5. Step 5: Solve for x
    x = 2,304,907.89/2,048.83
  6. Step 6: Final answer
    x = 1,124.99

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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.