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Finding the Fourth Proportional to 1,782.97, 2,674.72 and 613.27

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Solution

The fourth proportional to 1,782.97, 2,674.72 and 613.27 is: 920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.97 : 2,674.72 = 613.27 : x
  2. Step 2: Convert to fraction form
    1,782.97/2,674.72 = 613.27/x
  3. Step 3: Cross multiply
    1,782.97x = 2,674.72 × 613.27
  4. Step 4: Simplify right side
    1,782.97x = 1,640,326.19
  5. Step 5: Solve for x
    x = 1,640,326.19/1,782.97
  6. Step 6: Final answer
    x = 920.00

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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.