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Finding the Fourth Proportional to 2,208.72, 3,047.98 and 1,214

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Solution

The fourth proportional to 2,208.72, 3,047.98 and 1,214 is: 1,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.72 : 3,047.98 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,208.72/3,047.98 = 1,214/x
  3. Step 3: Cross multiply
    2,208.72x = 3,047.98 × 1,214
  4. Step 4: Simplify right side
    2,208.72x = 3,700,247.72
  5. Step 5: Solve for x
    x = 3,700,247.72/2,208.72
  6. Step 6: Final answer
    x = 1,675.29

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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.