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Finding the Fourth Proportional to 3,097.45, 4,646.17 and 906.18

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Solution

The fourth proportional to 3,097.45, 4,646.17 and 906.18 is: 1,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.45 : 4,646.17 = 906.18 : x
  2. Step 2: Convert to fraction form
    3,097.45/4,646.17 = 906.18/x
  3. Step 3: Cross multiply
    3,097.45x = 4,646.17 × 906.18
  4. Step 4: Simplify right side
    3,097.45x = 4,210,243.10
  5. Step 5: Solve for x
    x = 4,210,243.10/3,097.45
  6. Step 6: Final answer
    x = 1,359.26

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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.