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Finding the Fourth Proportional to 1,820.30, 2,723.70 and 1,334.30

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Solution

The fourth proportional to 1,820.30, 2,723.70 and 1,334.30 is: 1,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.30 : 2,723.70 = 1,334.30 : x
  2. Step 2: Convert to fraction form
    1,820.30/2,723.70 = 1,334.30/x
  3. Step 3: Cross multiply
    1,820.30x = 2,723.70 × 1,334.30
  4. Step 4: Simplify right side
    1,820.30x = 3,634,232.91
  5. Step 5: Solve for x
    x = 3,634,232.91/1,820.30
  6. Step 6: Final answer
    x = 1,996.50

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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.