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Finding the Fourth Proportional to 2,002.80, 3,004.16 and 542.16

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Solution

The fourth proportional to 2,002.80, 3,004.16 and 542.16 is: 813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.80 : 3,004.16 = 542.16 : x
  2. Step 2: Convert to fraction form
    2,002.80/3,004.16 = 542.16/x
  3. Step 3: Cross multiply
    2,002.80x = 3,004.16 × 542.16
  4. Step 4: Simplify right side
    2,002.80x = 1,628,735.39
  5. Step 5: Solve for x
    x = 1,628,735.39/2,002.80
  6. Step 6: Final answer
    x = 813.23

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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.