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Finding the Fourth Proportional to 2,005.68, 3,008.16 and 544.64

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Solution

The fourth proportional to 2,005.68, 3,008.16 and 544.64 is: 816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.68 : 3,008.16 = 544.64 : x
  2. Step 2: Convert to fraction form
    2,005.68/3,008.16 = 544.64/x
  3. Step 3: Cross multiply
    2,005.68x = 3,008.16 × 544.64
  4. Step 4: Simplify right side
    2,005.68x = 1,638,349.22
  5. Step 5: Solve for x
    x = 1,638,349.22/2,005.68
  6. Step 6: Final answer
    x = 816.85

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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.