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Finding the Fourth Proportional to 2,999.85, 4,494.41 and 1,829.24

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Solution

The fourth proportional to 2,999.85, 4,494.41 and 1,829.24 is: 2,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.85 : 4,494.41 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    2,999.85/4,494.41 = 1,829.24/x
  3. Step 3: Cross multiply
    2,999.85x = 4,494.41 × 1,829.24
  4. Step 4: Simplify right side
    2,999.85x = 8,221,322.93
  5. Step 5: Solve for x
    x = 8,221,322.93/2,999.85
  6. Step 6: Final answer
    x = 2,740.58

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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.