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Finding the Fourth Proportional to 2,794.65, 4,192.59 and 847.01

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Solution

The fourth proportional to 2,794.65, 4,192.59 and 847.01 is: 1,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.65 : 4,192.59 = 847.01 : x
  2. Step 2: Convert to fraction form
    2,794.65/4,192.59 = 847.01/x
  3. Step 3: Cross multiply
    2,794.65x = 4,192.59 × 847.01
  4. Step 4: Simplify right side
    2,794.65x = 3,551,148.58
  5. Step 5: Solve for x
    x = 3,551,148.58/2,794.65
  6. Step 6: Final answer
    x = 1,270.69

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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.