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Finding the Fourth Proportional to 1,584.81, 2,376.76 and 610.69

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Solution

The fourth proportional to 1,584.81, 2,376.76 and 610.69 is: 915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.81 : 2,376.76 = 610.69 : x
  2. Step 2: Convert to fraction form
    1,584.81/2,376.76 = 610.69/x
  3. Step 3: Cross multiply
    1,584.81x = 2,376.76 × 610.69
  4. Step 4: Simplify right side
    1,584.81x = 1,451,451.68
  5. Step 5: Solve for x
    x = 1,451,451.68/1,584.81
  6. Step 6: Final answer
    x = 915.85

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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.