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Finding the Fourth Proportional to 2,016, 2,783.56 and 1,624.80

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Solution

The fourth proportional to 2,016, 2,783.56 and 1,624.80 is: 2,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 2,783.56 = 1,624.80 : x
  2. Step 2: Convert to fraction form
    2,016/2,783.56 = 1,624.80/x
  3. Step 3: Cross multiply
    2,016x = 2,783.56 × 1,624.80
  4. Step 4: Simplify right side
    2,016x = 4,522,728.29
  5. Step 5: Solve for x
    x = 4,522,728.29/2,016
  6. Step 6: Final answer
    x = 2,243.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.