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Finding the Fourth Proportional to 2,303.22, 3,453.80 and 659.38

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Solution

The fourth proportional to 2,303.22, 3,453.80 and 659.38 is: 988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.22 : 3,453.80 = 659.38 : x
  2. Step 2: Convert to fraction form
    2,303.22/3,453.80 = 659.38/x
  3. Step 3: Cross multiply
    2,303.22x = 3,453.80 × 659.38
  4. Step 4: Simplify right side
    2,303.22x = 2,277,366.64
  5. Step 5: Solve for x
    x = 2,277,366.64/2,303.22
  6. Step 6: Final answer
    x = 988.78

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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.