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Finding the Fourth Proportional to 1,816.72, 2,725.31 and 584.22

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Solution

The fourth proportional to 1,816.72, 2,725.31 and 584.22 is: 876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.72 : 2,725.31 = 584.22 : x
  2. Step 2: Convert to fraction form
    1,816.72/2,725.31 = 584.22/x
  3. Step 3: Cross multiply
    1,816.72x = 2,725.31 × 584.22
  4. Step 4: Simplify right side
    1,816.72x = 1,592,180.61
  5. Step 5: Solve for x
    x = 1,592,180.61/1,816.72
  6. Step 6: Final answer
    x = 876.40

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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.