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Finding the Fourth Proportional to 2,302.48, 3,453.92 and 659.16

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Solution

The fourth proportional to 2,302.48, 3,453.92 and 659.16 is: 988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.48 : 3,453.92 = 659.16 : x
  2. Step 2: Convert to fraction form
    2,302.48/3,453.92 = 659.16/x
  3. Step 3: Cross multiply
    2,302.48x = 3,453.92 × 659.16
  4. Step 4: Simplify right side
    2,302.48x = 2,276,685.91
  5. Step 5: Solve for x
    x = 2,276,685.91/2,302.48
  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.