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Finding the Fourth Proportional to 1,584.68, 2,376.36 and 610.64

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Solution

The fourth proportional to 1,584.68, 2,376.36 and 610.64 is: 915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.68 : 2,376.36 = 610.64 : x
  2. Step 2: Convert to fraction form
    1,584.68/2,376.36 = 610.64/x
  3. Step 3: Cross multiply
    1,584.68x = 2,376.36 × 610.64
  4. Step 4: Simplify right side
    1,584.68x = 1,451,100.47
  5. Step 5: Solve for x
    x = 1,451,100.47/1,584.68
  6. Step 6: Final answer
    x = 915.71

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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.