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Finding the Fourth Proportional to 1,846.49, 2,769.64 and 921.75

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Solution

The fourth proportional to 1,846.49, 2,769.64 and 921.75 is: 1,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.49 : 2,769.64 = 921.75 : x
  2. Step 2: Convert to fraction form
    1,846.49/2,769.64 = 921.75/x
  3. Step 3: Cross multiply
    1,846.49x = 2,769.64 × 921.75
  4. Step 4: Simplify right side
    1,846.49x = 2,552,915.67
  5. Step 5: Solve for x
    x = 2,552,915.67/1,846.49
  6. Step 6: Final answer
    x = 1,382.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.