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Finding the Fourth Proportional to 1,816.85, 2,725.52 and 583.83

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Solution

The fourth proportional to 1,816.85, 2,725.52 and 583.83 is: 875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.85 : 2,725.52 = 583.83 : x
  2. Step 2: Convert to fraction form
    1,816.85/2,725.52 = 583.83/x
  3. Step 3: Cross multiply
    1,816.85x = 2,725.52 × 583.83
  4. Step 4: Simplify right side
    1,816.85x = 1,591,237.42
  5. Step 5: Solve for x
    x = 1,591,237.42/1,816.85
  6. Step 6: Final answer
    x = 875.82

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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.