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Finding the Fourth Proportional to 2,027.76, 2,798.04 and 1,143.60

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Solution

The fourth proportional to 2,027.76, 2,798.04 and 1,143.60 is: 1,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.76 : 2,798.04 = 1,143.60 : x
  2. Step 2: Convert to fraction form
    2,027.76/2,798.04 = 1,143.60/x
  3. Step 3: Cross multiply
    2,027.76x = 2,798.04 × 1,143.60
  4. Step 4: Simplify right side
    2,027.76x = 3,199,838.54
  5. Step 5: Solve for x
    x = 3,199,838.54/2,027.76
  6. Step 6: Final answer
    x = 1,578.02

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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.