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Finding the Fourth Proportional to 2,146.49, 3,219.80 and 685.51

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Solution

The fourth proportional to 2,146.49, 3,219.80 and 685.51 is: 1,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.49 : 3,219.80 = 685.51 : x
  2. Step 2: Convert to fraction form
    2,146.49/3,219.80 = 685.51/x
  3. Step 3: Cross multiply
    2,146.49x = 3,219.80 × 685.51
  4. Step 4: Simplify right side
    2,146.49x = 2,207,201.67
  5. Step 5: Solve for x
    x = 2,207,201.67/2,146.49
  6. Step 6: Final answer
    x = 1,028.28

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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.