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Finding the Fourth Proportional to 4,761.06, 7,141.59 and 1,641.96

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Solution

The fourth proportional to 4,761.06, 7,141.59 and 1,641.96 is: 2,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.06 : 7,141.59 = 1,641.96 : x
  2. Step 2: Convert to fraction form
    4,761.06/7,141.59 = 1,641.96/x
  3. Step 3: Cross multiply
    4,761.06x = 7,141.59 × 1,641.96
  4. Step 4: Simplify right side
    4,761.06x = 11,726,172.18
  5. Step 5: Solve for x
    x = 11,726,172.18/4,761.06
  6. Step 6: Final answer
    x = 2,462.94

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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.