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Finding the Fourth Proportional to 2,507.51, 3,766.71 and 1,960.76

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Solution

The fourth proportional to 2,507.51, 3,766.71 and 1,960.76 is: 2,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.51 : 3,766.71 = 1,960.76 : x
  2. Step 2: Convert to fraction form
    2,507.51/3,766.71 = 1,960.76/x
  3. Step 3: Cross multiply
    2,507.51x = 3,766.71 × 1,960.76
  4. Step 4: Simplify right side
    2,507.51x = 7,385,604.50
  5. Step 5: Solve for x
    x = 7,385,604.50/2,507.51
  6. Step 6: Final answer
    x = 2,945.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.