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Finding the Fourth Proportional to 2,857.86, 4,287.96 and 1,127.70

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Solution

The fourth proportional to 2,857.86, 4,287.96 and 1,127.70 is: 1,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 4,287.96 = 1,127.70 : x
  2. Step 2: Convert to fraction form
    2,857.86/4,287.96 = 1,127.70/x
  3. Step 3: Cross multiply
    2,857.86x = 4,287.96 × 1,127.70
  4. Step 4: Simplify right side
    2,857.86x = 4,835,532.49
  5. Step 5: Solve for x
    x = 4,835,532.49/2,857.86
  6. Step 6: Final answer
    x = 1,692.01

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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.