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Finding the Fourth Proportional to 2,999.74, 4,500.33 and 1,150.82

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Solution

The fourth proportional to 2,999.74, 4,500.33 and 1,150.82 is: 1,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.74 : 4,500.33 = 1,150.82 : x
  2. Step 2: Convert to fraction form
    2,999.74/4,500.33 = 1,150.82/x
  3. Step 3: Cross multiply
    2,999.74x = 4,500.33 × 1,150.82
  4. Step 4: Simplify right side
    2,999.74x = 5,179,041.51
  5. Step 5: Solve for x
    x = 5,179,041.51/2,999.74
  6. Step 6: Final answer
    x = 1,726.50

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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.