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Finding the Fourth Proportional to 1,620.32, 2,231.16 and 1,583.84

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Solution

The fourth proportional to 1,620.32, 2,231.16 and 1,583.84 is: 2,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.32 : 2,231.16 = 1,583.84 : x
  2. Step 2: Convert to fraction form
    1,620.32/2,231.16 = 1,583.84/x
  3. Step 3: Cross multiply
    1,620.32x = 2,231.16 × 1,583.84
  4. Step 4: Simplify right side
    1,620.32x = 3,533,800.45
  5. Step 5: Solve for x
    x = 3,533,800.45/1,620.32
  6. Step 6: Final answer
    x = 2,180.93

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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.