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Finding the Fourth Proportional to 2,302.52, 3,453.78 and 659.07

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Solution

The fourth proportional to 2,302.52, 3,453.78 and 659.07 is: 988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.52 : 3,453.78 = 659.07 : x
  2. Step 2: Convert to fraction form
    2,302.52/3,453.78 = 659.07/x
  3. Step 3: Cross multiply
    2,302.52x = 3,453.78 × 659.07
  4. Step 4: Simplify right side
    2,302.52x = 2,276,282.78
  5. Step 5: Solve for x
    x = 2,276,282.78/2,302.52
  6. Step 6: Final answer
    x = 988.61

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1.5x scale

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.