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Finding the Fourth Proportional to 2,433.75, 3,648.91 and 852.08

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Solution

The fourth proportional to 2,433.75, 3,648.91 and 852.08 is: 1,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.75 : 3,648.91 = 852.08 : x
  2. Step 2: Convert to fraction form
    2,433.75/3,648.91 = 852.08/x
  3. Step 3: Cross multiply
    2,433.75x = 3,648.91 × 852.08
  4. Step 4: Simplify right side
    2,433.75x = 3,109,163.23
  5. Step 5: Solve for x
    x = 3,109,163.23/2,433.75
  6. Step 6: Final answer
    x = 1,277.52

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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.