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Finding the Fourth Proportional to 3,097.06, 4,646.36 and 905.78

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Solution

The fourth proportional to 3,097.06, 4,646.36 and 905.78 is: 1,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.06 : 4,646.36 = 905.78 : x
  2. Step 2: Convert to fraction form
    3,097.06/4,646.36 = 905.78/x
  3. Step 3: Cross multiply
    3,097.06x = 4,646.36 × 905.78
  4. Step 4: Simplify right side
    3,097.06x = 4,208,593.84
  5. Step 5: Solve for x
    x = 4,208,593.84/3,097.06
  6. Step 6: Final answer
    x = 1,358.90

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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.