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Finding the Fourth Proportional to 3,097.05, 4,646.30 and 905.82

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Solution

The fourth proportional to 3,097.05, 4,646.30 and 905.82 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.05 : 4,646.30 = 905.82 : x
  2. Step 2: Convert to fraction form
    3,097.05/4,646.30 = 905.82/x
  3. Step 3: Cross multiply
    3,097.05x = 4,646.30 × 905.82
  4. Step 4: Simplify right side
    3,097.05x = 4,208,706.94
  5. Step 5: Solve for x
    x = 4,208,706.94/3,097.05
  6. Step 6: Final answer
    x = 1,358.94

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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.