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Finding the Fourth Proportional to 2,083.78, 3,126.28 and 986.64

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Solution

The fourth proportional to 2,083.78, 3,126.28 and 986.64 is: 1,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.78 : 3,126.28 = 986.64 : x
  2. Step 2: Convert to fraction form
    2,083.78/3,126.28 = 986.64/x
  3. Step 3: Cross multiply
    2,083.78x = 3,126.28 × 986.64
  4. Step 4: Simplify right side
    2,083.78x = 3,084,512.90
  5. Step 5: Solve for x
    x = 3,084,512.90/2,083.78
  6. Step 6: Final answer
    x = 1,480.25

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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.