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Finding the Fourth Proportional to 2,208.75, 3,048.15 and 1,214.05

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Solution

The fourth proportional to 2,208.75, 3,048.15 and 1,214.05 is: 1,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.75 : 3,048.15 = 1,214.05 : x
  2. Step 2: Convert to fraction form
    2,208.75/3,048.15 = 1,214.05/x
  3. Step 3: Cross multiply
    2,208.75x = 3,048.15 × 1,214.05
  4. Step 4: Simplify right side
    2,208.75x = 3,700,585.20
  5. Step 5: Solve for x
    x = 3,700,585.20/2,208.75
  6. Step 6: Final answer
    x = 1,675.42

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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.