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Finding the Fourth Proportional to 2,352.68, 3,529.01 and 965.03

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Solution

The fourth proportional to 2,352.68, 3,529.01 and 965.03 is: 1,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.68 : 3,529.01 = 965.03 : x
  2. Step 2: Convert to fraction form
    2,352.68/3,529.01 = 965.03/x
  3. Step 3: Cross multiply
    2,352.68x = 3,529.01 × 965.03
  4. Step 4: Simplify right side
    2,352.68x = 3,405,614.96
  5. Step 5: Solve for x
    x = 3,405,614.96/2,352.68
  6. Step 6: Final answer
    x = 1,447.55

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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.