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Finding the Fourth Proportional to 2,208.81, 3,048.20 and 1,214.13

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Solution

The fourth proportional to 2,208.81, 3,048.20 and 1,214.13 is: 1,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.81 : 3,048.20 = 1,214.13 : x
  2. Step 2: Convert to fraction form
    2,208.81/3,048.20 = 1,214.13/x
  3. Step 3: Cross multiply
    2,208.81x = 3,048.20 × 1,214.13
  4. Step 4: Simplify right side
    2,208.81x = 3,700,911.07
  5. Step 5: Solve for x
    x = 3,700,911.07/2,208.81
  6. Step 6: Final answer
    x = 1,675.52

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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.