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Finding the Fourth Proportional to 1,783.26, 2,460.78 and 997.43

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Solution

The fourth proportional to 1,783.26, 2,460.78 and 997.43 is: 1,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.26 : 2,460.78 = 997.43 : x
  2. Step 2: Convert to fraction form
    1,783.26/2,460.78 = 997.43/x
  3. Step 3: Cross multiply
    1,783.26x = 2,460.78 × 997.43
  4. Step 4: Simplify right side
    1,783.26x = 2,454,443.49
  5. Step 5: Solve for x
    x = 2,454,443.49/1,783.26
  6. Step 6: Final answer
    x = 1,376.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.