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Finding the Fourth Proportional to 2,066.96, 3,097.68 and 969.01

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Solution

The fourth proportional to 2,066.96, 3,097.68 and 969.01 is: 1,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.96 : 3,097.68 = 969.01 : x
  2. Step 2: Convert to fraction form
    2,066.96/3,097.68 = 969.01/x
  3. Step 3: Cross multiply
    2,066.96x = 3,097.68 × 969.01
  4. Step 4: Simplify right side
    2,066.96x = 3,001,682.90
  5. Step 5: Solve for x
    x = 3,001,682.90/2,066.96
  6. Step 6: Final answer
    x = 1,452.22

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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.