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Finding the Fourth Proportional to 2,163.16, 3,244.41 and 603.00

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Solution

The fourth proportional to 2,163.16, 3,244.41 and 603.00 is: 904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.16 : 3,244.41 = 603.00 : x
  2. Step 2: Convert to fraction form
    2,163.16/3,244.41 = 603.00/x
  3. Step 3: Cross multiply
    2,163.16x = 3,244.41 × 603.00
  4. Step 4: Simplify right side
    2,163.16x = 1,956,390.05
  5. Step 5: Solve for x
    x = 1,956,390.05/2,163.16
  6. Step 6: Final answer
    x = 904.41

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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.