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Finding the Fourth Proportional to 2,302.96, 3,454.42 and 659.64

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Solution

The fourth proportional to 2,302.96, 3,454.42 and 659.64 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.96 : 3,454.42 = 659.64 : x
  2. Step 2: Convert to fraction form
    2,302.96/3,454.42 = 659.64/x
  3. Step 3: Cross multiply
    2,302.96x = 3,454.42 × 659.64
  4. Step 4: Simplify right side
    2,302.96x = 2,278,673.61
  5. Step 5: Solve for x
    x = 2,278,673.61/2,302.96
  6. Step 6: Final answer
    x = 989.45

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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.