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Finding the Fourth Proportional to 1,626.94, 2,440.57 and 456.95

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Solution

The fourth proportional to 1,626.94, 2,440.57 and 456.95 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.94 : 2,440.57 = 456.95 : x
  2. Step 2: Convert to fraction form
    1,626.94/2,440.57 = 456.95/x
  3. Step 3: Cross multiply
    1,626.94x = 2,440.57 × 456.95
  4. Step 4: Simplify right side
    1,626.94x = 1,115,207.97
  5. Step 5: Solve for x
    x = 1,115,207.97/1,626.94
  6. Step 6: Final answer
    x = 685.46

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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.