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Finding the Fourth Proportional to 2,002.55, 3,003.83 and 541.70

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Solution

The fourth proportional to 2,002.55, 3,003.83 and 541.70 is: 812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.55 : 3,003.83 = 541.70 : x
  2. Step 2: Convert to fraction form
    2,002.55/3,003.83 = 541.70/x
  3. Step 3: Cross multiply
    2,002.55x = 3,003.83 × 541.70
  4. Step 4: Simplify right side
    2,002.55x = 1,627,174.71
  5. Step 5: Solve for x
    x = 1,627,174.71/2,002.55
  6. Step 6: Final answer
    x = 812.55

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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.