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Finding the Fourth Proportional to 2,017.70, 3,027.76 and 719.08

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Solution

The fourth proportional to 2,017.70, 3,027.76 and 719.08 is: 1,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.70 : 3,027.76 = 719.08 : x
  2. Step 2: Convert to fraction form
    2,017.70/3,027.76 = 719.08/x
  3. Step 3: Cross multiply
    2,017.70x = 3,027.76 × 719.08
  4. Step 4: Simplify right side
    2,017.70x = 2,177,201.66
  5. Step 5: Solve for x
    x = 2,177,201.66/2,017.70
  6. Step 6: Final answer
    x = 1,079.05

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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.