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Finding the Fourth Proportional to 2,352.72, 3,529.54 and 709.20

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Solution

The fourth proportional to 2,352.72, 3,529.54 and 709.20 is: 1,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.72 : 3,529.54 = 709.20 : x
  2. Step 2: Convert to fraction form
    2,352.72/3,529.54 = 709.20/x
  3. Step 3: Cross multiply
    2,352.72x = 3,529.54 × 709.20
  4. Step 4: Simplify right side
    2,352.72x = 2,503,149.77
  5. Step 5: Solve for x
    x = 2,503,149.77/2,352.72
  6. Step 6: Final answer
    x = 1,063.94

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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.