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Finding the Fourth Proportional to 2,762.01, 4,143.62 and 1,202.26

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Solution

The fourth proportional to 2,762.01, 4,143.62 and 1,202.26 is: 1,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.01 : 4,143.62 = 1,202.26 : x
  2. Step 2: Convert to fraction form
    2,762.01/4,143.62 = 1,202.26/x
  3. Step 3: Cross multiply
    2,762.01x = 4,143.62 × 1,202.26
  4. Step 4: Simplify right side
    2,762.01x = 4,981,708.58
  5. Step 5: Solve for x
    x = 4,981,708.58/2,762.01
  6. Step 6: Final answer
    x = 1,803.65

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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.