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Finding the Fourth Proportional to 2,054.66, 3,080.85 and 1,406.18

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Solution

The fourth proportional to 2,054.66, 3,080.85 and 1,406.18 is: 2,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.66 : 3,080.85 = 1,406.18 : x
  2. Step 2: Convert to fraction form
    2,054.66/3,080.85 = 1,406.18/x
  3. Step 3: Cross multiply
    2,054.66x = 3,080.85 × 1,406.18
  4. Step 4: Simplify right side
    2,054.66x = 4,332,229.65
  5. Step 5: Solve for x
    x = 4,332,229.65/2,054.66
  6. Step 6: Final answer
    x = 2,108.49

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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.