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Finding the Fourth Proportional to 2,786.16, 4,178.92 and 734.32

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Solution

The fourth proportional to 2,786.16, 4,178.92 and 734.32 is: 1,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.16 : 4,178.92 = 734.32 : x
  2. Step 2: Convert to fraction form
    2,786.16/4,178.92 = 734.32/x
  3. Step 3: Cross multiply
    2,786.16x = 4,178.92 × 734.32
  4. Step 4: Simplify right side
    2,786.16x = 3,068,664.53
  5. Step 5: Solve for x
    x = 3,068,664.53/2,786.16
  6. Step 6: Final answer
    x = 1,101.40

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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.