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Finding the Fourth Proportional to 2,066.10, 3,096.72 and 971.39

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Solution

The fourth proportional to 2,066.10, 3,096.72 and 971.39 is: 1,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.10 : 3,096.72 = 971.39 : x
  2. Step 2: Convert to fraction form
    2,066.10/3,096.72 = 971.39/x
  3. Step 3: Cross multiply
    2,066.10x = 3,096.72 × 971.39
  4. Step 4: Simplify right side
    2,066.10x = 3,008,107.36
  5. Step 5: Solve for x
    x = 3,008,107.36/2,066.10
  6. Step 6: Final answer
    x = 1,455.94

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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.