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Finding the Fourth Proportional to 2,016.48, 3,004.44 and 1,884

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Solution

The fourth proportional to 2,016.48, 3,004.44 and 1,884 is: 2,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.48 : 3,004.44 = 1,884 : x
  2. Step 2: Convert to fraction form
    2,016.48/3,004.44 = 1,884/x
  3. Step 3: Cross multiply
    2,016.48x = 3,004.44 × 1,884
  4. Step 4: Simplify right side
    2,016.48x = 5,660,364.96
  5. Step 5: Solve for x
    x = 5,660,364.96/2,016.48
  6. Step 6: Final answer
    x = 2,807.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.