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Finding the Fourth Proportional to 1,620.55, 2,429.84 and 682.37

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Solution

The fourth proportional to 1,620.55, 2,429.84 and 682.37 is: 1,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.55 : 2,429.84 = 682.37 : x
  2. Step 2: Convert to fraction form
    1,620.55/2,429.84 = 682.37/x
  3. Step 3: Cross multiply
    1,620.55x = 2,429.84 × 682.37
  4. Step 4: Simplify right side
    1,620.55x = 1,658,037.77
  5. Step 5: Solve for x
    x = 1,658,037.77/1,620.55
  6. Step 6: Final answer
    x = 1,023.14

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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.