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Finding the Fourth Proportional to 1,584.75, 2,376.22 and 935.94

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Solution

The fourth proportional to 1,584.75, 2,376.22 and 935.94 is: 1,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.75 : 2,376.22 = 935.94 : x
  2. Step 2: Convert to fraction form
    1,584.75/2,376.22 = 935.94/x
  3. Step 3: Cross multiply
    1,584.75x = 2,376.22 × 935.94
  4. Step 4: Simplify right side
    1,584.75x = 2,223,999.35
  5. Step 5: Solve for x
    x = 2,223,999.35/1,584.75
  6. Step 6: Final answer
    x = 1,403.38

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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.