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Finding the Fourth Proportional to 2,270.51, 3,406.63 and 884.82

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Solution

The fourth proportional to 2,270.51, 3,406.63 and 884.82 is: 1,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.51 : 3,406.63 = 884.82 : x
  2. Step 2: Convert to fraction form
    2,270.51/3,406.63 = 884.82/x
  3. Step 3: Cross multiply
    2,270.51x = 3,406.63 × 884.82
  4. Step 4: Simplify right side
    2,270.51x = 3,014,273.92
  5. Step 5: Solve for x
    x = 3,014,273.92/2,270.51
  6. Step 6: Final answer
    x = 1,327.58

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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.