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Finding the Fourth Proportional to 2,419.53, 3,626.86 and 1,321.62

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Solution

The fourth proportional to 2,419.53, 3,626.86 and 1,321.62 is: 1,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.53 : 3,626.86 = 1,321.62 : x
  2. Step 2: Convert to fraction form
    2,419.53/3,626.86 = 1,321.62/x
  3. Step 3: Cross multiply
    2,419.53x = 3,626.86 × 1,321.62
  4. Step 4: Simplify right side
    2,419.53x = 4,793,330.71
  5. Step 5: Solve for x
    x = 4,793,330.71/2,419.53
  6. Step 6: Final answer
    x = 1,981.10

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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.