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Finding the Fourth Proportional to 2,669.98, 4,005.83 and 1,208.74

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Solution

The fourth proportional to 2,669.98, 4,005.83 and 1,208.74 is: 1,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.98 : 4,005.83 = 1,208.74 : x
  2. Step 2: Convert to fraction form
    2,669.98/4,005.83 = 1,208.74/x
  3. Step 3: Cross multiply
    2,669.98x = 4,005.83 × 1,208.74
  4. Step 4: Simplify right side
    2,669.98x = 4,842,006.95
  5. Step 5: Solve for x
    x = 4,842,006.95/2,669.98
  6. Step 6: Final answer
    x = 1,813.50

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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.