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Finding the Fourth Proportional to 2,007.27, 3,010.15 and 690.64

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Solution

The fourth proportional to 2,007.27, 3,010.15 and 690.64 is: 1,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.27 : 3,010.15 = 690.64 : x
  2. Step 2: Convert to fraction form
    2,007.27/3,010.15 = 690.64/x
  3. Step 3: Cross multiply
    2,007.27x = 3,010.15 × 690.64
  4. Step 4: Simplify right side
    2,007.27x = 2,078,930.00
  5. Step 5: Solve for x
    x = 2,078,930.00/2,007.27
  6. Step 6: Final answer
    x = 1,035.70

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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.