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Finding the Fourth Proportional to 1,769.19, 2,653.79 and 614.94

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Solution

The fourth proportional to 1,769.19, 2,653.79 and 614.94 is: 922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.19 : 2,653.79 = 614.94 : x
  2. Step 2: Convert to fraction form
    1,769.19/2,653.79 = 614.94/x
  3. Step 3: Cross multiply
    1,769.19x = 2,653.79 × 614.94
  4. Step 4: Simplify right side
    1,769.19x = 1,631,918.55
  5. Step 5: Solve for x
    x = 1,631,918.55/1,769.19
  6. Step 6: Final answer
    x = 922.41

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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.