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Finding the Fourth Proportional to 2,200.31, 3,300.31 and 813.00

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Solution

The fourth proportional to 2,200.31, 3,300.31 and 813.00 is: 1,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.31 : 3,300.31 = 813.00 : x
  2. Step 2: Convert to fraction form
    2,200.31/3,300.31 = 813.00/x
  3. Step 3: Cross multiply
    2,200.31x = 3,300.31 × 813.00
  4. Step 4: Simplify right side
    2,200.31x = 2,683,165.42
  5. Step 5: Solve for x
    x = 2,683,165.42/2,200.31
  6. Step 6: Final answer
    x = 1,219.45

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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.