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Finding the Fourth Proportional to 2,099.04, 3,149.36 and 944.52

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Solution

The fourth proportional to 2,099.04, 3,149.36 and 944.52 is: 1,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.04 : 3,149.36 = 944.52 : x
  2. Step 2: Convert to fraction form
    2,099.04/3,149.36 = 944.52/x
  3. Step 3: Cross multiply
    2,099.04x = 3,149.36 × 944.52
  4. Step 4: Simplify right side
    2,099.04x = 2,974,633.51
  5. Step 5: Solve for x
    x = 2,974,633.51/2,099.04
  6. Step 6: Final answer
    x = 1,417.14

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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.