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Finding the Fourth Proportional to 2,003.86, 2,762.79 and 1,294.50

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Solution

The fourth proportional to 2,003.86, 2,762.79 and 1,294.50 is: 1,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.86 : 2,762.79 = 1,294.50 : x
  2. Step 2: Convert to fraction form
    2,003.86/2,762.79 = 1,294.50/x
  3. Step 3: Cross multiply
    2,003.86x = 2,762.79 × 1,294.50
  4. Step 4: Simplify right side
    2,003.86x = 3,576,431.66
  5. Step 5: Solve for x
    x = 3,576,431.66/2,003.86
  6. Step 6: Final answer
    x = 1,784.78

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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.