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Finding the Fourth Proportional to 3,007.30, 4,511.18 and 816.00

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Solution

The fourth proportional to 3,007.30, 4,511.18 and 816.00 is: 1,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.30 : 4,511.18 = 816.00 : x
  2. Step 2: Convert to fraction form
    3,007.30/4,511.18 = 816.00/x
  3. Step 3: Cross multiply
    3,007.30x = 4,511.18 × 816.00
  4. Step 4: Simplify right side
    3,007.30x = 3,681,119.54
  5. Step 5: Solve for x
    x = 3,681,119.54/3,007.30
  6. Step 6: Final answer
    x = 1,224.06

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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.