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Finding the Fourth Proportional to 1,798.62, 2,696.20 and 921.54

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Solution

The fourth proportional to 1,798.62, 2,696.20 and 921.54 is: 1,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.62 : 2,696.20 = 921.54 : x
  2. Step 2: Convert to fraction form
    1,798.62/2,696.20 = 921.54/x
  3. Step 3: Cross multiply
    1,798.62x = 2,696.20 × 921.54
  4. Step 4: Simplify right side
    1,798.62x = 2,484,653.97
  5. Step 5: Solve for x
    x = 2,484,653.97/1,798.62
  6. Step 6: Final answer
    x = 1,381.42

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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.