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Finding the Fourth Proportional to 3,008.36, 4,511.93 and 817.25

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Solution

The fourth proportional to 3,008.36, 4,511.93 and 817.25 is: 1,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.36 : 4,511.93 = 817.25 : x
  2. Step 2: Convert to fraction form
    3,008.36/4,511.93 = 817.25/x
  3. Step 3: Cross multiply
    3,008.36x = 4,511.93 × 817.25
  4. Step 4: Simplify right side
    3,008.36x = 3,687,348.15
  5. Step 5: Solve for x
    x = 3,687,348.15/3,008.36
  6. Step 6: Final answer
    x = 1,225.70

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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.