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Finding the Fourth Proportional to 2,674.87, 4,012.99 and 1,030.98

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Solution

The fourth proportional to 2,674.87, 4,012.99 and 1,030.98 is: 1,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.87 : 4,012.99 = 1,030.98 : x
  2. Step 2: Convert to fraction form
    2,674.87/4,012.99 = 1,030.98/x
  3. Step 3: Cross multiply
    2,674.87x = 4,012.99 × 1,030.98
  4. Step 4: Simplify right side
    2,674.87x = 4,137,312.43
  5. Step 5: Solve for x
    x = 4,137,312.43/2,674.87
  6. Step 6: Final answer
    x = 1,546.73

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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.