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Finding the Fourth Proportional to 1,615.63, 2,229.49 and 952.45

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Solution

The fourth proportional to 1,615.63, 2,229.49 and 952.45 is: 1,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.63 : 2,229.49 = 952.45 : x
  2. Step 2: Convert to fraction form
    1,615.63/2,229.49 = 952.45/x
  3. Step 3: Cross multiply
    1,615.63x = 2,229.49 × 952.45
  4. Step 4: Simplify right side
    1,615.63x = 2,123,477.75
  5. Step 5: Solve for x
    x = 2,123,477.75/1,615.63
  6. Step 6: Final answer
    x = 1,314.33

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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.