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Finding the Fourth Proportional to 3,092.00, 4,637.99 and 900.90

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Solution

The fourth proportional to 3,092.00, 4,637.99 and 900.90 is: 1,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.00 : 4,637.99 = 900.90 : x
  2. Step 2: Convert to fraction form
    3,092.00/4,637.99 = 900.90/x
  3. Step 3: Cross multiply
    3,092.00x = 4,637.99 × 900.90
  4. Step 4: Simplify right side
    3,092.00x = 4,178,344.25
  5. Step 5: Solve for x
    x = 4,178,344.25/3,092.00
  6. Step 6: Final answer
    x = 1,351.34

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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.