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Finding the Fourth Proportional to 2,099.60, 3,149.42 and 1,004.08

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Solution

The fourth proportional to 2,099.60, 3,149.42 and 1,004.08 is: 1,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.60 : 3,149.42 = 1,004.08 : x
  2. Step 2: Convert to fraction form
    2,099.60/3,149.42 = 1,004.08/x
  3. Step 3: Cross multiply
    2,099.60x = 3,149.42 × 1,004.08
  4. Step 4: Simplify right side
    2,099.60x = 3,162,269.63
  5. Step 5: Solve for x
    x = 3,162,269.63/2,099.60
  6. Step 6: Final answer
    x = 1,506.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.