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Finding the Fourth Proportional to 2,951.76, 4,428.87 and 1,221.60

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Solution

The fourth proportional to 2,951.76, 4,428.87 and 1,221.60 is: 1,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.76 : 4,428.87 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    2,951.76/4,428.87 = 1,221.60/x
  3. Step 3: Cross multiply
    2,951.76x = 4,428.87 × 1,221.60
  4. Step 4: Simplify right side
    2,951.76x = 5,410,307.59
  5. Step 5: Solve for x
    x = 5,410,307.59/2,951.76
  6. Step 6: Final answer
    x = 1,832.91

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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.