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Finding the Fourth Proportional to 3,097.10, 4,645.20 and 905.60

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Solution

The fourth proportional to 3,097.10, 4,645.20 and 905.60 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.10 : 4,645.20 = 905.60 : x
  2. Step 2: Convert to fraction form
    3,097.10/4,645.20 = 905.60/x
  3. Step 3: Cross multiply
    3,097.10x = 4,645.20 × 905.60
  4. Step 4: Simplify right side
    3,097.10x = 4,206,693.12
  5. Step 5: Solve for x
    x = 4,206,693.12/3,097.10
  6. Step 6: Final answer
    x = 1,358.27

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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.