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Finding the Fourth Proportional to 1,584.82, 2,376.62 and 544.63

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Solution

The fourth proportional to 1,584.82, 2,376.62 and 544.63 is: 816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.82 : 2,376.62 = 544.63 : x
  2. Step 2: Convert to fraction form
    1,584.82/2,376.62 = 544.63/x
  3. Step 3: Cross multiply
    1,584.82x = 2,376.62 × 544.63
  4. Step 4: Simplify right side
    1,584.82x = 1,294,373.97
  5. Step 5: Solve for x
    x = 1,294,373.97/1,584.82
  6. Step 6: Final answer
    x = 816.73

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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.