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Finding the Fourth Proportional to 2,999.71, 4,500.47 and 1,682.04

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Solution

The fourth proportional to 2,999.71, 4,500.47 and 1,682.04 is: 2,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.71 : 4,500.47 = 1,682.04 : x
  2. Step 2: Convert to fraction form
    2,999.71/4,500.47 = 1,682.04/x
  3. Step 3: Cross multiply
    2,999.71x = 4,500.47 × 1,682.04
  4. Step 4: Simplify right side
    2,999.71x = 7,569,970.56
  5. Step 5: Solve for x
    x = 7,569,970.56/2,999.71
  6. Step 6: Final answer
    x = 2,523.57

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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.