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Finding the Fourth Proportional to 1,584.96, 2,187.27 and 955.48

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Solution

The fourth proportional to 1,584.96, 2,187.27 and 955.48 is: 1,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.96 : 2,187.27 = 955.48 : x
  2. Step 2: Convert to fraction form
    1,584.96/2,187.27 = 955.48/x
  3. Step 3: Cross multiply
    1,584.96x = 2,187.27 × 955.48
  4. Step 4: Simplify right side
    1,584.96x = 2,089,892.74
  5. Step 5: Solve for x
    x = 2,089,892.74/1,584.96
  6. Step 6: Final answer
    x = 1,318.58

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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.