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Finding the Fourth Proportional to 2,830.72, 4,253.76 and 2,661.76

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Solution

The fourth proportional to 2,830.72, 4,253.76 and 2,661.76 is: 3,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.72 : 4,253.76 = 2,661.76 : x
  2. Step 2: Convert to fraction form
    2,830.72/4,253.76 = 2,661.76/x
  3. Step 3: Cross multiply
    2,830.72x = 4,253.76 × 2,661.76
  4. Step 4: Simplify right side
    2,830.72x = 11,322,488.22
  5. Step 5: Solve for x
    x = 11,322,488.22/2,830.72
  6. Step 6: Final answer
    x = 3,999.86

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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.