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Finding the Fourth Proportional to 2,002.76, 3,004.14 and 541.94

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Solution

The fourth proportional to 2,002.76, 3,004.14 and 541.94 is: 812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.76 : 3,004.14 = 541.94 : x
  2. Step 2: Convert to fraction form
    2,002.76/3,004.14 = 541.94/x
  3. Step 3: Cross multiply
    2,002.76x = 3,004.14 × 541.94
  4. Step 4: Simplify right side
    2,002.76x = 1,628,063.63
  5. Step 5: Solve for x
    x = 1,628,063.63/2,002.76
  6. Step 6: Final answer
    x = 812.91

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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.