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Finding the Fourth Proportional to 4,602.12, 6,901.64 and 1,481.39

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Solution

The fourth proportional to 4,602.12, 6,901.64 and 1,481.39 is: 2,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.12 : 6,901.64 = 1,481.39 : x
  2. Step 2: Convert to fraction form
    4,602.12/6,901.64 = 1,481.39/x
  3. Step 3: Cross multiply
    4,602.12x = 6,901.64 × 1,481.39
  4. Step 4: Simplify right side
    4,602.12x = 10,224,020.48
  5. Step 5: Solve for x
    x = 10,224,020.48/4,602.12
  6. Step 6: Final answer
    x = 2,221.59

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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.