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Finding the Fourth Proportional to 2,550.47, 3,519.70 and 1,431.49

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Solution

The fourth proportional to 2,550.47, 3,519.70 and 1,431.49 is: 1,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.47 : 3,519.70 = 1,431.49 : x
  2. Step 2: Convert to fraction form
    2,550.47/3,519.70 = 1,431.49/x
  3. Step 3: Cross multiply
    2,550.47x = 3,519.70 × 1,431.49
  4. Step 4: Simplify right side
    2,550.47x = 5,038,415.35
  5. Step 5: Solve for x
    x = 5,038,415.35/2,550.47
  6. Step 6: Final answer
    x = 1,975.49

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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.