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Finding the Fourth Proportional to 1,621.82, 2,237.23 and 1,411.63

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Solution

The fourth proportional to 1,621.82, 2,237.23 and 1,411.63 is: 1,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.82 : 2,237.23 = 1,411.63 : x
  2. Step 2: Convert to fraction form
    1,621.82/2,237.23 = 1,411.63/x
  3. Step 3: Cross multiply
    1,621.82x = 2,237.23 × 1,411.63
  4. Step 4: Simplify right side
    1,621.82x = 3,158,135.39
  5. Step 5: Solve for x
    x = 3,158,135.39/1,621.82
  6. Step 6: Final answer
    x = 1,947.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.