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Finding the Fourth Proportional to 2,018.54, 3,027.80 and 1,043.96

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Solution

The fourth proportional to 2,018.54, 3,027.80 and 1,043.96 is: 1,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.54 : 3,027.80 = 1,043.96 : x
  2. Step 2: Convert to fraction form
    2,018.54/3,027.80 = 1,043.96/x
  3. Step 3: Cross multiply
    2,018.54x = 3,027.80 × 1,043.96
  4. Step 4: Simplify right side
    2,018.54x = 3,160,889.56
  5. Step 5: Solve for x
    x = 3,160,889.56/2,018.54
  6. Step 6: Final answer
    x = 1,565.93

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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.