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Finding the Fourth Proportional to 2,734.94, 4,102.49 and 886.06

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Solution

The fourth proportional to 2,734.94, 4,102.49 and 886.06 is: 1,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.94 : 4,102.49 = 886.06 : x
  2. Step 2: Convert to fraction form
    2,734.94/4,102.49 = 886.06/x
  3. Step 3: Cross multiply
    2,734.94x = 4,102.49 × 886.06
  4. Step 4: Simplify right side
    2,734.94x = 3,635,027.35
  5. Step 5: Solve for x
    x = 3,635,027.35/2,734.94
  6. Step 6: Final answer
    x = 1,329.11

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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.