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Finding the Fourth Proportional to 1,446.08, 2,168.72 and 406.01

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Solution

The fourth proportional to 1,446.08, 2,168.72 and 406.01 is: 608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.08 : 2,168.72 = 406.01 : x
  2. Step 2: Convert to fraction form
    1,446.08/2,168.72 = 406.01/x
  3. Step 3: Cross multiply
    1,446.08x = 2,168.72 × 406.01
  4. Step 4: Simplify right side
    1,446.08x = 880,522.01
  5. Step 5: Solve for x
    x = 880,522.01/1,446.08
  6. Step 6: Final answer
    x = 608.90

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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.