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Finding the Fourth Proportional to 2,674.67, 4,012.50 and 1,031.07

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Solution

The fourth proportional to 2,674.67, 4,012.50 and 1,031.07 is: 1,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.67 : 4,012.50 = 1,031.07 : x
  2. Step 2: Convert to fraction form
    2,674.67/4,012.50 = 1,031.07/x
  3. Step 3: Cross multiply
    2,674.67x = 4,012.50 × 1,031.07
  4. Step 4: Simplify right side
    2,674.67x = 4,137,168.38
  5. Step 5: Solve for x
    x = 4,137,168.38/2,674.67
  6. Step 6: Final answer
    x = 1,546.80

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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.