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Finding the Fourth Proportional to 2,302.83, 3,453.84 and 659.34

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Solution

The fourth proportional to 2,302.83, 3,453.84 and 659.34 is: 988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.83 : 3,453.84 = 659.34 : x
  2. Step 2: Convert to fraction form
    2,302.83/3,453.84 = 659.34/x
  3. Step 3: Cross multiply
    2,302.83x = 3,453.84 × 659.34
  4. Step 4: Simplify right side
    2,302.83x = 2,277,254.87
  5. Step 5: Solve for x
    x = 2,277,254.87/2,302.83
  6. Step 6: Final answer
    x = 988.89

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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.