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Finding the Fourth Proportional to 2,016.90, 2,783.14 and 1,230.80

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Solution

The fourth proportional to 2,016.90, 2,783.14 and 1,230.80 is: 1,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.90 : 2,783.14 = 1,230.80 : x
  2. Step 2: Convert to fraction form
    2,016.90/2,783.14 = 1,230.80/x
  3. Step 3: Cross multiply
    2,016.90x = 2,783.14 × 1,230.80
  4. Step 4: Simplify right side
    2,016.90x = 3,425,488.71
  5. Step 5: Solve for x
    x = 3,425,488.71/2,016.90
  6. Step 6: Final answer
    x = 1,698.39

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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.