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Finding the Fourth Proportional to 1,591.63, 2,384.40 and 1,243.33

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Solution

The fourth proportional to 1,591.63, 2,384.40 and 1,243.33 is: 1,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.63 : 2,384.40 = 1,243.33 : x
  2. Step 2: Convert to fraction form
    1,591.63/2,384.40 = 1,243.33/x
  3. Step 3: Cross multiply
    1,591.63x = 2,384.40 × 1,243.33
  4. Step 4: Simplify right side
    1,591.63x = 2,964,596.05
  5. Step 5: Solve for x
    x = 2,964,596.05/1,591.63
  6. Step 6: Final answer
    x = 1,862.62

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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.