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Finding the Fourth Proportional to 2,018.56, 3,027.32 and 719.72

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Solution

The fourth proportional to 2,018.56, 3,027.32 and 719.72 is: 1,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.56 : 3,027.32 = 719.72 : x
  2. Step 2: Convert to fraction form
    2,018.56/3,027.32 = 719.72/x
  3. Step 3: Cross multiply
    2,018.56x = 3,027.32 × 719.72
  4. Step 4: Simplify right side
    2,018.56x = 2,178,822.75
  5. Step 5: Solve for x
    x = 2,178,822.75/2,018.56
  6. Step 6: Final answer
    x = 1,079.39

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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.