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Finding the Fourth Proportional to 2,999.48, 4,493.07 and 1,763.15

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Solution

The fourth proportional to 2,999.48, 4,493.07 and 1,763.15 is: 2,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.48 : 4,493.07 = 1,763.15 : x
  2. Step 2: Convert to fraction form
    2,999.48/4,493.07 = 1,763.15/x
  3. Step 3: Cross multiply
    2,999.48x = 4,493.07 × 1,763.15
  4. Step 4: Simplify right side
    2,999.48x = 7,921,933.91
  5. Step 5: Solve for x
    x = 7,921,933.91/2,999.48
  6. Step 6: Final answer
    x = 2,641.11

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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.