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Finding the Fourth Proportional to 2,813.54, 4,214.07 and 2,264.34

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Solution

The fourth proportional to 2,813.54, 4,214.07 and 2,264.34 is: 3,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.54 : 4,214.07 = 2,264.34 : x
  2. Step 2: Convert to fraction form
    2,813.54/4,214.07 = 2,264.34/x
  3. Step 3: Cross multiply
    2,813.54x = 4,214.07 × 2,264.34
  4. Step 4: Simplify right side
    2,813.54x = 9,542,087.26
  5. Step 5: Solve for x
    x = 9,542,087.26/2,813.54
  6. Step 6: Final answer
    x = 3,391.49

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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.