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Finding the Fourth Proportional to 1,622.57, 2,431.83 and 890.87

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Solution

The fourth proportional to 1,622.57, 2,431.83 and 890.87 is: 1,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.57 : 2,431.83 = 890.87 : x
  2. Step 2: Convert to fraction form
    1,622.57/2,431.83 = 890.87/x
  3. Step 3: Cross multiply
    1,622.57x = 2,431.83 × 890.87
  4. Step 4: Simplify right side
    1,622.57x = 2,166,444.39
  5. Step 5: Solve for x
    x = 2,166,444.39/1,622.57
  6. Step 6: Final answer
    x = 1,335.19

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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.