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Finding the Fourth Proportional to 1,629.46, 2,443.92 and 459.34

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Solution

The fourth proportional to 1,629.46, 2,443.92 and 459.34 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.46 : 2,443.92 = 459.34 : x
  2. Step 2: Convert to fraction form
    1,629.46/2,443.92 = 459.34/x
  3. Step 3: Cross multiply
    1,629.46x = 2,443.92 × 459.34
  4. Step 4: Simplify right side
    1,629.46x = 1,122,590.21
  5. Step 5: Solve for x
    x = 1,122,590.21/1,629.46
  6. Step 6: Final answer
    x = 688.93

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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.