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Finding the Fourth Proportional to 1,446.06, 2,168.73 and 405.80

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Solution

The fourth proportional to 1,446.06, 2,168.73 and 405.80 is: 608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.06 : 2,168.73 = 405.80 : x
  2. Step 2: Convert to fraction form
    1,446.06/2,168.73 = 405.80/x
  3. Step 3: Cross multiply
    1,446.06x = 2,168.73 × 405.80
  4. Step 4: Simplify right side
    1,446.06x = 880,070.63
  5. Step 5: Solve for x
    x = 880,070.63/1,446.06
  6. Step 6: Final answer
    x = 608.60

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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.