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Finding the Fourth Proportional to 2,353.70, 3,529.41 and 709.94

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Solution

The fourth proportional to 2,353.70, 3,529.41 and 709.94 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.70 : 3,529.41 = 709.94 : x
  2. Step 2: Convert to fraction form
    2,353.70/3,529.41 = 709.94/x
  3. Step 3: Cross multiply
    2,353.70x = 3,529.41 × 709.94
  4. Step 4: Simplify right side
    2,353.70x = 2,505,669.34
  5. Step 5: Solve for x
    x = 2,505,669.34/2,353.70
  6. Step 6: Final answer
    x = 1,064.57

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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.