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Finding the Fourth Proportional to 2,027.70, 3,041.91 and 795.69

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Solution

The fourth proportional to 2,027.70, 3,041.91 and 795.69 is: 1,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.70 : 3,041.91 = 795.69 : x
  2. Step 2: Convert to fraction form
    2,027.70/3,041.91 = 795.69/x
  3. Step 3: Cross multiply
    2,027.70x = 3,041.91 × 795.69
  4. Step 4: Simplify right side
    2,027.70x = 2,420,417.37
  5. Step 5: Solve for x
    x = 2,420,417.37/2,027.70
  6. Step 6: Final answer
    x = 1,193.68

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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.