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Finding the Fourth Proportional to 2,352.87, 3,528.48 and 965.81

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Solution

The fourth proportional to 2,352.87, 3,528.48 and 965.81 is: 1,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.87 : 3,528.48 = 965.81 : x
  2. Step 2: Convert to fraction form
    2,352.87/3,528.48 = 965.81/x
  3. Step 3: Cross multiply
    2,352.87x = 3,528.48 × 965.81
  4. Step 4: Simplify right side
    2,352.87x = 3,407,850.09
  5. Step 5: Solve for x
    x = 3,407,850.09/2,352.87
  6. Step 6: Final answer
    x = 1,448.38

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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.