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Finding the Fourth Proportional to 2,463.87, 3,689.75 and 1,583.60

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Solution

The fourth proportional to 2,463.87, 3,689.75 and 1,583.60 is: 2,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.87 : 3,689.75 = 1,583.60 : x
  2. Step 2: Convert to fraction form
    2,463.87/3,689.75 = 1,583.60/x
  3. Step 3: Cross multiply
    2,463.87x = 3,689.75 × 1,583.60
  4. Step 4: Simplify right side
    2,463.87x = 5,843,094.37
  5. Step 5: Solve for x
    x = 5,843,094.37/2,463.87
  6. Step 6: Final answer
    x = 2,371.51

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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.