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Finding the Fourth Proportional to 1,816.54, 2,725.26 and 776.68

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Solution

The fourth proportional to 1,816.54, 2,725.26 and 776.68 is: 1,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.54 : 2,725.26 = 776.68 : x
  2. Step 2: Convert to fraction form
    1,816.54/2,725.26 = 776.68/x
  3. Step 3: Cross multiply
    1,816.54x = 2,725.26 × 776.68
  4. Step 4: Simplify right side
    1,816.54x = 2,116,654.94
  5. Step 5: Solve for x
    x = 2,116,654.94/1,816.54
  6. Step 6: Final answer
    x = 1,165.21

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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.