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Finding the Fourth Proportional to 2,180.96, 3,271.70 and 794.93

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Solution

The fourth proportional to 2,180.96, 3,271.70 and 794.93 is: 1,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.96 : 3,271.70 = 794.93 : x
  2. Step 2: Convert to fraction form
    2,180.96/3,271.70 = 794.93/x
  3. Step 3: Cross multiply
    2,180.96x = 3,271.70 × 794.93
  4. Step 4: Simplify right side
    2,180.96x = 2,600,782.65
  5. Step 5: Solve for x
    x = 2,600,782.65/2,180.96
  6. Step 6: Final answer
    x = 1,192.50

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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.