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Finding the Fourth Proportional to 3,097.42, 4,646.60 and 905.89

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Solution

The fourth proportional to 3,097.42, 4,646.60 and 905.89 is: 1,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.42 : 4,646.60 = 905.89 : x
  2. Step 2: Convert to fraction form
    3,097.42/4,646.60 = 905.89/x
  3. Step 3: Cross multiply
    3,097.42x = 4,646.60 × 905.89
  4. Step 4: Simplify right side
    3,097.42x = 4,209,308.47
  5. Step 5: Solve for x
    x = 4,209,308.47/3,097.42
  6. Step 6: Final answer
    x = 1,358.97

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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.