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Finding the Fourth Proportional to 2,269.63, 3,403.59 and 882.79

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Solution

The fourth proportional to 2,269.63, 3,403.59 and 882.79 is: 1,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.63 : 3,403.59 = 882.79 : x
  2. Step 2: Convert to fraction form
    2,269.63/3,403.59 = 882.79/x
  3. Step 3: Cross multiply
    2,269.63x = 3,403.59 × 882.79
  4. Step 4: Simplify right side
    2,269.63x = 3,004,652.97
  5. Step 5: Solve for x
    x = 3,004,652.97/2,269.63
  6. Step 6: Final answer
    x = 1,323.85

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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.