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Finding the Fourth Proportional to 2,990.50, 4,484.24 and 1,741.49

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Solution

The fourth proportional to 2,990.50, 4,484.24 and 1,741.49 is: 2,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.50 : 4,484.24 = 1,741.49 : x
  2. Step 2: Convert to fraction form
    2,990.50/4,484.24 = 1,741.49/x
  3. Step 3: Cross multiply
    2,990.50x = 4,484.24 × 1,741.49
  4. Step 4: Simplify right side
    2,990.50x = 7,809,265.36
  5. Step 5: Solve for x
    x = 7,809,265.36/2,990.50
  6. Step 6: Final answer
    x = 2,611.36

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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.