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Finding the Fourth Proportional to 1,608.24, 2,410.69 and 683.02

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Solution

The fourth proportional to 1,608.24, 2,410.69 and 683.02 is: 1,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.24 : 2,410.69 = 683.02 : x
  2. Step 2: Convert to fraction form
    1,608.24/2,410.69 = 683.02/x
  3. Step 3: Cross multiply
    1,608.24x = 2,410.69 × 683.02
  4. Step 4: Simplify right side
    1,608.24x = 1,646,549.48
  5. Step 5: Solve for x
    x = 1,646,549.48/1,608.24
  6. Step 6: Final answer
    x = 1,023.82

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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.