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Finding the Fourth Proportional to 2,602.63, 3,902.82 and 753.31

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Solution

The fourth proportional to 2,602.63, 3,902.82 and 753.31 is: 1,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.63 : 3,902.82 = 753.31 : x
  2. Step 2: Convert to fraction form
    2,602.63/3,902.82 = 753.31/x
  3. Step 3: Cross multiply
    2,602.63x = 3,902.82 × 753.31
  4. Step 4: Simplify right side
    2,602.63x = 2,940,033.33
  5. Step 5: Solve for x
    x = 2,940,033.33/2,602.63
  6. Step 6: Final answer
    x = 1,129.64

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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.