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Finding the Fourth Proportional to 2,054.16, 3,078.41 and 754.92

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Solution

The fourth proportional to 2,054.16, 3,078.41 and 754.92 is: 1,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.16 : 3,078.41 = 754.92 : x
  2. Step 2: Convert to fraction form
    2,054.16/3,078.41 = 754.92/x
  3. Step 3: Cross multiply
    2,054.16x = 3,078.41 × 754.92
  4. Step 4: Simplify right side
    2,054.16x = 2,323,949.50
  5. Step 5: Solve for x
    x = 2,323,949.50/2,054.16
  6. Step 6: Final answer
    x = 1,131.34

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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.