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Finding the Fourth Proportional to 1,846.31, 2,769.80 and 614.16

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Solution

The fourth proportional to 1,846.31, 2,769.80 and 614.16 is: 921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.31 : 2,769.80 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,846.31/2,769.80 = 614.16/x
  3. Step 3: Cross multiply
    1,846.31x = 2,769.80 × 614.16
  4. Step 4: Simplify right side
    1,846.31x = 1,701,097.30
  5. Step 5: Solve for x
    x = 1,701,097.30/1,846.31
  6. Step 6: Final answer
    x = 921.35

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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.