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Finding the Fourth Proportional to 2,551.10, 3,520.08 and 1,431.88

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Solution

The fourth proportional to 2,551.10, 3,520.08 and 1,431.88 is: 1,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.10 : 3,520.08 = 1,431.88 : x
  2. Step 2: Convert to fraction form
    2,551.10/3,520.08 = 1,431.88/x
  3. Step 3: Cross multiply
    2,551.10x = 3,520.08 × 1,431.88
  4. Step 4: Simplify right side
    2,551.10x = 5,040,332.15
  5. Step 5: Solve for x
    x = 5,040,332.15/2,551.10
  6. Step 6: Final answer
    x = 1,975.75

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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.