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Finding the Fourth Proportional to 2,208.71, 3,048.03 and 1,214.01

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Solution

The fourth proportional to 2,208.71, 3,048.03 and 1,214.01 is: 1,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.71 : 3,048.03 = 1,214.01 : x
  2. Step 2: Convert to fraction form
    2,208.71/3,048.03 = 1,214.01/x
  3. Step 3: Cross multiply
    2,208.71x = 3,048.03 × 1,214.01
  4. Step 4: Simplify right side
    2,208.71x = 3,700,338.90
  5. Step 5: Solve for x
    x = 3,700,338.90/2,208.71
  6. Step 6: Final answer
    x = 1,675.34

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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.