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Finding the Fourth Proportional to 1,768.62, 2,440.77 and 982.62

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Solution

The fourth proportional to 1,768.62, 2,440.77 and 982.62 is: 1,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.62 : 2,440.77 = 982.62 : x
  2. Step 2: Convert to fraction form
    1,768.62/2,440.77 = 982.62/x
  3. Step 3: Cross multiply
    1,768.62x = 2,440.77 × 982.62
  4. Step 4: Simplify right side
    1,768.62x = 2,398,349.42
  5. Step 5: Solve for x
    x = 2,398,349.42/1,768.62
  6. Step 6: Final answer
    x = 1,356.06

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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.