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Finding the Fourth Proportional to 1,798.33, 2,697.04 and 1,213.02

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Solution

The fourth proportional to 1,798.33, 2,697.04 and 1,213.02 is: 1,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.33 : 2,697.04 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    1,798.33/2,697.04 = 1,213.02/x
  3. Step 3: Cross multiply
    1,798.33x = 2,697.04 × 1,213.02
  4. Step 4: Simplify right side
    1,798.33x = 3,271,563.46
  5. Step 5: Solve for x
    x = 3,271,563.46/1,798.33
  6. Step 6: Final answer
    x = 1,819.22

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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.