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Finding the Fourth Proportional to 2,208.79, 3,048.06 and 1,214.09

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Solution

The fourth proportional to 2,208.79, 3,048.06 and 1,214.09 is: 1,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.79 : 3,048.06 = 1,214.09 : x
  2. Step 2: Convert to fraction form
    2,208.79/3,048.06 = 1,214.09/x
  3. Step 3: Cross multiply
    2,208.79x = 3,048.06 × 1,214.09
  4. Step 4: Simplify right side
    2,208.79x = 3,700,609.66
  5. Step 5: Solve for x
    x = 3,700,609.66/2,208.79
  6. Step 6: Final answer
    x = 1,675.40

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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.