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Finding the Fourth Proportional to 1,584.23, 2,376.20 and 621.52

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Solution

The fourth proportional to 1,584.23, 2,376.20 and 621.52 is: 932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.23 : 2,376.20 = 621.52 : x
  2. Step 2: Convert to fraction form
    1,584.23/2,376.20 = 621.52/x
  3. Step 3: Cross multiply
    1,584.23x = 2,376.20 × 621.52
  4. Step 4: Simplify right side
    1,584.23x = 1,476,851.44
  5. Step 5: Solve for x
    x = 1,476,851.44/1,584.23
  6. Step 6: Final answer
    x = 932.22

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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.