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Finding the Fourth Proportional to 2,270.89, 3,406.34 and 1,786.51

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Solution

The fourth proportional to 2,270.89, 3,406.34 and 1,786.51 is: 2,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.89 : 3,406.34 = 1,786.51 : x
  2. Step 2: Convert to fraction form
    2,270.89/3,406.34 = 1,786.51/x
  3. Step 3: Cross multiply
    2,270.89x = 3,406.34 × 1,786.51
  4. Step 4: Simplify right side
    2,270.89x = 6,085,460.47
  5. Step 5: Solve for x
    x = 6,085,460.47/2,270.89
  6. Step 6: Final answer
    x = 2,679.77

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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.