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Finding the Fourth Proportional to 1,503.13, 2,072.44 and 1,149.49

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Solution

The fourth proportional to 1,503.13, 2,072.44 and 1,149.49 is: 1,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.13 : 2,072.44 = 1,149.49 : x
  2. Step 2: Convert to fraction form
    1,503.13/2,072.44 = 1,149.49/x
  3. Step 3: Cross multiply
    1,503.13x = 2,072.44 × 1,149.49
  4. Step 4: Simplify right side
    1,503.13x = 2,382,249.06
  5. Step 5: Solve for x
    x = 2,382,249.06/1,503.13
  6. Step 6: Final answer
    x = 1,584.86

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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.