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Finding the Fourth Proportional to 1,816.46, 2,724.53 and 583.54

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Solution

The fourth proportional to 1,816.46, 2,724.53 and 583.54 is: 875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.46 : 2,724.53 = 583.54 : x
  2. Step 2: Convert to fraction form
    1,816.46/2,724.53 = 583.54/x
  3. Step 3: Cross multiply
    1,816.46x = 2,724.53 × 583.54
  4. Step 4: Simplify right side
    1,816.46x = 1,589,872.24
  5. Step 5: Solve for x
    x = 1,589,872.24/1,816.46
  6. Step 6: Final answer
    x = 875.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.