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Finding the Fourth Proportional to 1,816.36, 2,725.76 and 1,809.68

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Solution

The fourth proportional to 1,816.36, 2,725.76 and 1,809.68 is: 2,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.36 : 2,725.76 = 1,809.68 : x
  2. Step 2: Convert to fraction form
    1,816.36/2,725.76 = 1,809.68/x
  3. Step 3: Cross multiply
    1,816.36x = 2,725.76 × 1,809.68
  4. Step 4: Simplify right side
    1,816.36x = 4,932,753.36
  5. Step 5: Solve for x
    x = 4,932,753.36/1,816.36
  6. Step 6: Final answer
    x = 2,715.74

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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.