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Finding the Fourth Proportional to 2,550.79, 3,519.65 and 1,431.57

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Solution

The fourth proportional to 2,550.79, 3,519.65 and 1,431.57 is: 1,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.79 : 3,519.65 = 1,431.57 : x
  2. Step 2: Convert to fraction form
    2,550.79/3,519.65 = 1,431.57/x
  3. Step 3: Cross multiply
    2,550.79x = 3,519.65 × 1,431.57
  4. Step 4: Simplify right side
    2,550.79x = 5,038,642.13
  5. Step 5: Solve for x
    x = 5,038,642.13/2,550.79
  6. Step 6: Final answer
    x = 1,975.33

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Why These Related Problems?

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