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Finding the Fourth Proportional to 2,002.10, 3,002.77 and 540.89

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Solution

The fourth proportional to 2,002.10, 3,002.77 and 540.89 is: 811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.10 : 3,002.77 = 540.89 : x
  2. Step 2: Convert to fraction form
    2,002.10/3,002.77 = 540.89/x
  3. Step 3: Cross multiply
    2,002.10x = 3,002.77 × 540.89
  4. Step 4: Simplify right side
    2,002.10x = 1,624,150.55
  5. Step 5: Solve for x
    x = 1,624,150.55/2,002.10
  6. Step 6: Final answer
    x = 811.22

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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.