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Finding the Fourth Proportional to 1,768.72, 2,440.86 and 982.78

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Solution

The fourth proportional to 1,768.72, 2,440.86 and 982.78 is: 1,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.72 : 2,440.86 = 982.78 : x
  2. Step 2: Convert to fraction form
    1,768.72/2,440.86 = 982.78/x
  3. Step 3: Cross multiply
    1,768.72x = 2,440.86 × 982.78
  4. Step 4: Simplify right side
    1,768.72x = 2,398,828.39
  5. Step 5: Solve for x
    x = 2,398,828.39/1,768.72
  6. Step 6: Final answer
    x = 1,356.25

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