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Finding the Fourth Proportional to 1,584.53, 2,376.92 and 430.25

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Solution

The fourth proportional to 1,584.53, 2,376.92 and 430.25 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.53 : 2,376.92 = 430.25 : x
  2. Step 2: Convert to fraction form
    1,584.53/2,376.92 = 430.25/x
  3. Step 3: Cross multiply
    1,584.53x = 2,376.92 × 430.25
  4. Step 4: Simplify right side
    1,584.53x = 1,022,667.68
  5. Step 5: Solve for x
    x = 1,022,667.68/1,584.53
  6. Step 6: Final answer
    x = 645.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.