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Finding the Fourth Proportional to 2,018.40, 3,027.60 and 719.70

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Solution

The fourth proportional to 2,018.40, 3,027.60 and 719.70 is: 1,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.40 : 3,027.60 = 719.70 : x
  2. Step 2: Convert to fraction form
    2,018.40/3,027.60 = 719.70/x
  3. Step 3: Cross multiply
    2,018.40x = 3,027.60 × 719.70
  4. Step 4: Simplify right side
    2,018.40x = 2,178,963.72
  5. Step 5: Solve for x
    x = 2,178,963.72/2,018.40
  6. Step 6: Final answer
    x = 1,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.