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Finding the Fourth Proportional to 1,592.44, 2,382.66 and 1,504.60

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Solution

The fourth proportional to 1,592.44, 2,382.66 and 1,504.60 is: 2,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.44 : 2,382.66 = 1,504.60 : x
  2. Step 2: Convert to fraction form
    1,592.44/2,382.66 = 1,504.60/x
  3. Step 3: Cross multiply
    1,592.44x = 2,382.66 × 1,504.60
  4. Step 4: Simplify right side
    1,592.44x = 3,584,950.24
  5. Step 5: Solve for x
    x = 3,584,950.24/1,592.44
  6. Step 6: Final answer
    x = 2,251.23

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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.