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Finding the Fourth Proportional to 2,302.74, 3,453.84 and 659.25

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Solution

The fourth proportional to 2,302.74, 3,453.84 and 659.25 is: 988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.74 : 3,453.84 = 659.25 : x
  2. Step 2: Convert to fraction form
    2,302.74/3,453.84 = 659.25/x
  3. Step 3: Cross multiply
    2,302.74x = 3,453.84 × 659.25
  4. Step 4: Simplify right side
    2,302.74x = 2,276,944.02
  5. Step 5: Solve for x
    x = 2,276,944.02/2,302.74
  6. Step 6: Final answer
    x = 988.80

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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.