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Finding the Fourth Proportional to 1,636.79, 2,452.23 and 1,378.40

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Solution

The fourth proportional to 1,636.79, 2,452.23 and 1,378.40 is: 2,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.79 : 2,452.23 = 1,378.40 : x
  2. Step 2: Convert to fraction form
    1,636.79/2,452.23 = 1,378.40/x
  3. Step 3: Cross multiply
    1,636.79x = 2,452.23 × 1,378.40
  4. Step 4: Simplify right side
    1,636.79x = 3,380,141.57
  5. Step 5: Solve for x
    x = 3,380,141.57/1,636.79
  6. Step 6: Final answer
    x = 2,065.11

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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.