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Finding the Fourth Proportional to 2,208.96, 3,048.44 and 1,214.28

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Solution

The fourth proportional to 2,208.96, 3,048.44 and 1,214.28 is: 1,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.96 : 3,048.44 = 1,214.28 : x
  2. Step 2: Convert to fraction form
    2,208.96/3,048.44 = 1,214.28/x
  3. Step 3: Cross multiply
    2,208.96x = 3,048.44 × 1,214.28
  4. Step 4: Simplify right side
    2,208.96x = 3,701,653.65
  5. Step 5: Solve for x
    x = 3,701,653.65/2,208.96
  6. Step 6: Final answer
    x = 1,675.74

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