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Finding the Fourth Proportional to 1,615.48, 2,229.40 and 1,144.22

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Solution

The fourth proportional to 1,615.48, 2,229.40 and 1,144.22 is: 1,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.48 : 2,229.40 = 1,144.22 : x
  2. Step 2: Convert to fraction form
    1,615.48/2,229.40 = 1,144.22/x
  3. Step 3: Cross multiply
    1,615.48x = 2,229.40 × 1,144.22
  4. Step 4: Simplify right side
    1,615.48x = 2,550,924.07
  5. Step 5: Solve for x
    x = 2,550,924.07/1,615.48
  6. Step 6: Final answer
    x = 1,579.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.