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Finding the Fourth Proportional to 2,794.91, 4,192.09 and 1,407.69

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Solution

The fourth proportional to 2,794.91, 4,192.09 and 1,407.69 is: 2,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.91 : 4,192.09 = 1,407.69 : x
  2. Step 2: Convert to fraction form
    2,794.91/4,192.09 = 1,407.69/x
  3. Step 3: Cross multiply
    2,794.91x = 4,192.09 × 1,407.69
  4. Step 4: Simplify right side
    2,794.91x = 5,901,159.65
  5. Step 5: Solve for x
    x = 5,901,159.65/2,794.91
  6. Step 6: Final answer
    x = 2,111.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.