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Finding the Fourth Proportional to 2,012.16, 3,016.08 and 984

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Solution

The fourth proportional to 2,012.16, 3,016.08 and 984 is: 1,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.16 : 3,016.08 = 984 : x
  2. Step 2: Convert to fraction form
    2,012.16/3,016.08 = 984/x
  3. Step 3: Cross multiply
    2,012.16x = 3,016.08 × 984
  4. Step 4: Simplify right side
    2,012.16x = 2,967,822.72
  5. Step 5: Solve for x
    x = 2,967,822.72/2,012.16
  6. Step 6: Final answer
    x = 1,474.94

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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.