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Finding the Fourth Proportional to 2,853.63, 4,277.00 and 1,294.03

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Solution

The fourth proportional to 2,853.63, 4,277.00 and 1,294.03 is: 1,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.63 : 4,277.00 = 1,294.03 : x
  2. Step 2: Convert to fraction form
    2,853.63/4,277.00 = 1,294.03/x
  3. Step 3: Cross multiply
    2,853.63x = 4,277.00 × 1,294.03
  4. Step 4: Simplify right side
    2,853.63x = 5,534,550.83
  5. Step 5: Solve for x
    x = 5,534,550.83/2,853.63
  6. Step 6: Final answer
    x = 1,939.48

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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.