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Finding the Fourth Proportional to 1,620.77, 2,233.82 and 1,408.56

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Solution

The fourth proportional to 1,620.77, 2,233.82 and 1,408.56 is: 1,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.77 : 2,233.82 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    1,620.77/2,233.82 = 1,408.56/x
  3. Step 3: Cross multiply
    1,620.77x = 2,233.82 × 1,408.56
  4. Step 4: Simplify right side
    1,620.77x = 3,146,473.59
  5. Step 5: Solve for x
    x = 3,146,473.59/1,620.77
  6. Step 6: Final answer
    x = 1,941.34

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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.