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Finding the Fourth Proportional to 2,419.61, 3,627.99 and 1,323.68

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Solution

The fourth proportional to 2,419.61, 3,627.99 and 1,323.68 is: 1,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.61 : 3,627.99 = 1,323.68 : x
  2. Step 2: Convert to fraction form
    2,419.61/3,627.99 = 1,323.68/x
  3. Step 3: Cross multiply
    2,419.61x = 3,627.99 × 1,323.68
  4. Step 4: Simplify right side
    2,419.61x = 4,802,279.66
  5. Step 5: Solve for x
    x = 4,802,279.66/2,419.61
  6. Step 6: Final answer
    x = 1,984.74

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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.