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Finding the Fourth Proportional to 1,423.08, 2,134.68 and 449.28

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Solution

The fourth proportional to 1,423.08, 2,134.68 and 449.28 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.08 : 2,134.68 = 449.28 : x
  2. Step 2: Convert to fraction form
    1,423.08/2,134.68 = 449.28/x
  3. Step 3: Cross multiply
    1,423.08x = 2,134.68 × 449.28
  4. Step 4: Simplify right side
    1,423.08x = 959,069.03
  5. Step 5: Solve for x
    x = 959,069.03/1,423.08
  6. Step 6: Final answer
    x = 673.94

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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.