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Finding the Fourth Proportional to 1,584.54, 2,184.05 and 1,190.88

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Solution

The fourth proportional to 1,584.54, 2,184.05 and 1,190.88 is: 1,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.54 : 2,184.05 = 1,190.88 : x
  2. Step 2: Convert to fraction form
    1,584.54/2,184.05 = 1,190.88/x
  3. Step 3: Cross multiply
    1,584.54x = 2,184.05 × 1,190.88
  4. Step 4: Simplify right side
    1,584.54x = 2,600,945.44
  5. Step 5: Solve for x
    x = 2,600,945.44/1,584.54
  6. Step 6: Final answer
    x = 1,641.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.