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Finding the Fourth Proportional to 2,414.25, 3,621.51 and 683.01

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Solution

The fourth proportional to 2,414.25, 3,621.51 and 683.01 is: 1,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.25 : 3,621.51 = 683.01 : x
  2. Step 2: Convert to fraction form
    2,414.25/3,621.51 = 683.01/x
  3. Step 3: Cross multiply
    2,414.25x = 3,621.51 × 683.01
  4. Step 4: Simplify right side
    2,414.25x = 2,473,527.55
  5. Step 5: Solve for x
    x = 2,473,527.55/2,414.25
  6. Step 6: Final answer
    x = 1,024.55

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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.