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Finding the Fourth Proportional to 2,208.48, 3,313.36 and 1,283.84

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Solution

The fourth proportional to 2,208.48, 3,313.36 and 1,283.84 is: 1,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.48 : 3,313.36 = 1,283.84 : x
  2. Step 2: Convert to fraction form
    2,208.48/3,313.36 = 1,283.84/x
  3. Step 3: Cross multiply
    2,208.48x = 3,313.36 × 1,283.84
  4. Step 4: Simplify right side
    2,208.48x = 4,253,824.10
  5. Step 5: Solve for x
    x = 4,253,824.10/2,208.48
  6. Step 6: Final answer
    x = 1,926.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.