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Finding the Fourth Proportional to 1,768.77, 2,441.01 and 982.81

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Solution

The fourth proportional to 1,768.77, 2,441.01 and 982.81 is: 1,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.77 : 2,441.01 = 982.81 : x
  2. Step 2: Convert to fraction form
    1,768.77/2,441.01 = 982.81/x
  3. Step 3: Cross multiply
    1,768.77x = 2,441.01 × 982.81
  4. Step 4: Simplify right side
    1,768.77x = 2,399,044.12
  5. Step 5: Solve for x
    x = 2,399,044.12/1,768.77
  6. Step 6: Final answer
    x = 1,356.33

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1.5x scale

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.