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Finding the Fourth Proportional to 1,797.03, 2,695.52 and 809.30

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Solution

The fourth proportional to 1,797.03, 2,695.52 and 809.30 is: 1,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.03 : 2,695.52 = 809.30 : x
  2. Step 2: Convert to fraction form
    1,797.03/2,695.52 = 809.30/x
  3. Step 3: Cross multiply
    1,797.03x = 2,695.52 × 809.30
  4. Step 4: Simplify right side
    1,797.03x = 2,181,466.81
  5. Step 5: Solve for x
    x = 2,181,466.81/1,797.03
  6. Step 6: Final answer
    x = 1,213.93

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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.