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Finding the Fourth Proportional to 3,097.26, 4,645.26 and 905.40

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Solution

The fourth proportional to 3,097.26, 4,645.26 and 905.40 is: 1,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.26 : 4,645.26 = 905.40 : x
  2. Step 2: Convert to fraction form
    3,097.26/4,645.26 = 905.40/x
  3. Step 3: Cross multiply
    3,097.26x = 4,645.26 × 905.40
  4. Step 4: Simplify right side
    3,097.26x = 4,205,818.40
  5. Step 5: Solve for x
    x = 4,205,818.40/3,097.26
  6. Step 6: Final answer
    x = 1,357.92

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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.