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Finding the Fourth Proportional to 2,099.59, 3,150.29 and 1,004.27

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Solution

The fourth proportional to 2,099.59, 3,150.29 and 1,004.27 is: 1,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.59 : 3,150.29 = 1,004.27 : x
  2. Step 2: Convert to fraction form
    2,099.59/3,150.29 = 1,004.27/x
  3. Step 3: Cross multiply
    2,099.59x = 3,150.29 × 1,004.27
  4. Step 4: Simplify right side
    2,099.59x = 3,163,728.50
  5. Step 5: Solve for x
    x = 3,163,728.50/2,099.59
  6. Step 6: Final answer
    x = 1,506.83

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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.