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Finding the Fourth Proportional to 2,071.93, 3,108 and 685.39

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Solution

The fourth proportional to 2,071.93, 3,108 and 685.39 is: 1,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.93 : 3,108 = 685.39 : x
  2. Step 2: Convert to fraction form
    2,071.93/3,108 = 685.39/x
  3. Step 3: Cross multiply
    2,071.93x = 3,108 × 685.39
  4. Step 4: Simplify right side
    2,071.93x = 2,130,192.12
  5. Step 5: Solve for x
    x = 2,130,192.12/2,071.93
  6. Step 6: Final answer
    x = 1,028.12

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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.