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Finding the Fourth Proportional to 1,606.30, 2,409.48 and 682.02

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Solution

The fourth proportional to 1,606.30, 2,409.48 and 682.02 is: 1,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.30 : 2,409.48 = 682.02 : x
  2. Step 2: Convert to fraction form
    1,606.30/2,409.48 = 682.02/x
  3. Step 3: Cross multiply
    1,606.30x = 2,409.48 × 682.02
  4. Step 4: Simplify right side
    1,606.30x = 1,643,313.55
  5. Step 5: Solve for x
    x = 1,643,313.55/1,606.30
  6. Step 6: Final answer
    x = 1,023.04

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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.