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Finding the Fourth Proportional to 2,302.98, 3,453.88 and 659.54

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Solution

The fourth proportional to 2,302.98, 3,453.88 and 659.54 is: 989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.98 : 3,453.88 = 659.54 : x
  2. Step 2: Convert to fraction form
    2,302.98/3,453.88 = 659.54/x
  3. Step 3: Cross multiply
    2,302.98x = 3,453.88 × 659.54
  4. Step 4: Simplify right side
    2,302.98x = 2,277,972.02
  5. Step 5: Solve for x
    x = 2,277,972.02/2,302.98
  6. Step 6: Final answer
    x = 989.14

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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.