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Finding the Fourth Proportional to 2,007.86, 2,771.79 and 1,345.14

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Solution

The fourth proportional to 2,007.86, 2,771.79 and 1,345.14 is: 1,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.86 : 2,771.79 = 1,345.14 : x
  2. Step 2: Convert to fraction form
    2,007.86/2,771.79 = 1,345.14/x
  3. Step 3: Cross multiply
    2,007.86x = 2,771.79 × 1,345.14
  4. Step 4: Simplify right side
    2,007.86x = 3,728,440.56
  5. Step 5: Solve for x
    x = 3,728,440.56/2,007.86
  6. Step 6: Final answer
    x = 1,856.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.