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Finding the Fourth Proportional to 1,816.84, 2,723.23 and 1,124.02

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Solution

The fourth proportional to 1,816.84, 2,723.23 and 1,124.02 is: 1,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.84 : 2,723.23 = 1,124.02 : x
  2. Step 2: Convert to fraction form
    1,816.84/2,723.23 = 1,124.02/x
  3. Step 3: Cross multiply
    1,816.84x = 2,723.23 × 1,124.02
  4. Step 4: Simplify right side
    1,816.84x = 3,060,945.75
  5. Step 5: Solve for x
    x = 3,060,945.75/1,816.84
  6. Step 6: Final answer
    x = 1,684.77

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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.