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Finding the Fourth Proportional to 1,615.38, 2,419.63 and 1,221.04

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Solution

The fourth proportional to 1,615.38, 2,419.63 and 1,221.04 is: 1,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.38 : 2,419.63 = 1,221.04 : x
  2. Step 2: Convert to fraction form
    1,615.38/2,419.63 = 1,221.04/x
  3. Step 3: Cross multiply
    1,615.38x = 2,419.63 × 1,221.04
  4. Step 4: Simplify right side
    1,615.38x = 2,954,465.02
  5. Step 5: Solve for x
    x = 2,954,465.02/1,615.38
  6. Step 6: Final answer
    x = 1,828.96

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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.