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Finding the Fourth Proportional to 2,027.74, 2,795.42 and 1,530.94

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Solution

The fourth proportional to 2,027.74, 2,795.42 and 1,530.94 is: 2,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.74 : 2,795.42 = 1,530.94 : x
  2. Step 2: Convert to fraction form
    2,027.74/2,795.42 = 1,530.94/x
  3. Step 3: Cross multiply
    2,027.74x = 2,795.42 × 1,530.94
  4. Step 4: Simplify right side
    2,027.74x = 4,279,620.29
  5. Step 5: Solve for x
    x = 4,279,620.29/2,027.74
  6. Step 6: Final answer
    x = 2,110.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.