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Finding the Fourth Proportional to 1,798.74, 2,696.22 and 824.04

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Solution

The fourth proportional to 1,798.74, 2,696.22 and 824.04 is: 1,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.74 : 2,696.22 = 824.04 : x
  2. Step 2: Convert to fraction form
    1,798.74/2,696.22 = 824.04/x
  3. Step 3: Cross multiply
    1,798.74x = 2,696.22 × 824.04
  4. Step 4: Simplify right side
    1,798.74x = 2,221,793.13
  5. Step 5: Solve for x
    x = 2,221,793.13/1,798.74
  6. Step 6: Final answer
    x = 1,235.19

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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.