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Finding the Fourth Proportional to 2,548.84, 3,820.83 and 816.28

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Solution

The fourth proportional to 2,548.84, 3,820.83 and 816.28 is: 1,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.84 : 3,820.83 = 816.28 : x
  2. Step 2: Convert to fraction form
    2,548.84/3,820.83 = 816.28/x
  3. Step 3: Cross multiply
    2,548.84x = 3,820.83 × 816.28
  4. Step 4: Simplify right side
    2,548.84x = 3,118,867.11
  5. Step 5: Solve for x
    x = 3,118,867.11/2,548.84
  6. Step 6: Final answer
    x = 1,223.64

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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.