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Finding the Fourth Proportional to 1,816.68, 2,719.50 and 1,643.42

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Solution

The fourth proportional to 1,816.68, 2,719.50 and 1,643.42 is: 2,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.68 : 2,719.50 = 1,643.42 : x
  2. Step 2: Convert to fraction form
    1,816.68/2,719.50 = 1,643.42/x
  3. Step 3: Cross multiply
    1,816.68x = 2,719.50 × 1,643.42
  4. Step 4: Simplify right side
    1,816.68x = 4,469,280.69
  5. Step 5: Solve for x
    x = 4,469,280.69/1,816.68
  6. Step 6: Final answer
    x = 2,460.14

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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.