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Finding the Fourth Proportional to 3,096.97, 4,646.14 and 905.51

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Solution

The fourth proportional to 3,096.97, 4,646.14 and 905.51 is: 1,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.97 : 4,646.14 = 905.51 : x
  2. Step 2: Convert to fraction form
    3,096.97/4,646.14 = 905.51/x
  3. Step 3: Cross multiply
    3,096.97x = 4,646.14 × 905.51
  4. Step 4: Simplify right side
    3,096.97x = 4,207,135.58
  5. Step 5: Solve for x
    x = 4,207,135.58/3,096.97
  6. Step 6: Final answer
    x = 1,358.47

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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.