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Finding the Fourth Proportional to 2,274.19, 3,409.24 and 813.00

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Solution

The fourth proportional to 2,274.19, 3,409.24 and 813.00 is: 1,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.19 : 3,409.24 = 813.00 : x
  2. Step 2: Convert to fraction form
    2,274.19/3,409.24 = 813.00/x
  3. Step 3: Cross multiply
    2,274.19x = 3,409.24 × 813.00
  4. Step 4: Simplify right side
    2,274.19x = 2,771,724.40
  5. Step 5: Solve for x
    x = 2,771,724.40/2,274.19
  6. Step 6: Final answer
    x = 1,218.77

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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.