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Finding the Fourth Proportional to 2,976.07, 4,106.87 and 1,796.93

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Solution

The fourth proportional to 2,976.07, 4,106.87 and 1,796.93 is: 2,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.07 : 4,106.87 = 1,796.93 : x
  2. Step 2: Convert to fraction form
    2,976.07/4,106.87 = 1,796.93/x
  3. Step 3: Cross multiply
    2,976.07x = 4,106.87 × 1,796.93
  4. Step 4: Simplify right side
    2,976.07x = 7,379,757.91
  5. Step 5: Solve for x
    x = 7,379,757.91/2,976.07
  6. Step 6: Final answer
    x = 2,479.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.