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Finding the Fourth Proportional to 1,584.36, 2,376.30 and 804.02

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Solution

The fourth proportional to 1,584.36, 2,376.30 and 804.02 is: 1,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,376.30 = 804.02 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,376.30 = 804.02/x
  3. Step 3: Cross multiply
    1,584.36x = 2,376.30 × 804.02
  4. Step 4: Simplify right side
    1,584.36x = 1,910,592.73
  5. Step 5: Solve for x
    x = 1,910,592.73/1,584.36
  6. Step 6: Final answer
    x = 1,205.91

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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.