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Finding the Fourth Proportional to 1,626.45, 2,434.80 and 1,407.75

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Solution

The fourth proportional to 1,626.45, 2,434.80 and 1,407.75 is: 2,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.45 : 2,434.80 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    1,626.45/2,434.80 = 1,407.75/x
  3. Step 3: Cross multiply
    1,626.45x = 2,434.80 × 1,407.75
  4. Step 4: Simplify right side
    1,626.45x = 3,427,589.70
  5. Step 5: Solve for x
    x = 3,427,589.70/1,626.45
  6. Step 6: Final answer
    x = 2,107.41

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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.