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Finding the Fourth Proportional to 2,027.80, 3,039.90 and 710.92

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Solution

The fourth proportional to 2,027.80, 3,039.90 and 710.92 is: 1,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.80 : 3,039.90 = 710.92 : x
  2. Step 2: Convert to fraction form
    2,027.80/3,039.90 = 710.92/x
  3. Step 3: Cross multiply
    2,027.80x = 3,039.90 × 710.92
  4. Step 4: Simplify right side
    2,027.80x = 2,161,125.71
  5. Step 5: Solve for x
    x = 2,161,125.71/2,027.80
  6. Step 6: Final answer
    x = 1,065.75

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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.