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Finding the Fourth Proportional to 1,446.05, 2,168.84 and 405.95

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Solution

The fourth proportional to 1,446.05, 2,168.84 and 405.95 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.05 : 2,168.84 = 405.95 : x
  2. Step 2: Convert to fraction form
    1,446.05/2,168.84 = 405.95/x
  3. Step 3: Cross multiply
    1,446.05x = 2,168.84 × 405.95
  4. Step 4: Simplify right side
    1,446.05x = 880,430.77
  5. Step 5: Solve for x
    x = 880,430.77/1,446.05
  6. Step 6: Final answer
    x = 608.85

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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.