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Finding the Fourth Proportional to 1,446.43, 2,168.95 and 612.64

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Solution

The fourth proportional to 1,446.43, 2,168.95 and 612.64 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.43 : 2,168.95 = 612.64 : x
  2. Step 2: Convert to fraction form
    1,446.43/2,168.95 = 612.64/x
  3. Step 3: Cross multiply
    1,446.43x = 2,168.95 × 612.64
  4. Step 4: Simplify right side
    1,446.43x = 1,328,783.48
  5. Step 5: Solve for x
    x = 1,328,783.48/1,446.43
  6. Step 6: Final answer
    x = 918.66

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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.