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Finding the Fourth Proportional to 2,674.65, 3,692.21 and 1,718.57

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Solution

The fourth proportional to 2,674.65, 3,692.21 and 1,718.57 is: 2,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.65 : 3,692.21 = 1,718.57 : x
  2. Step 2: Convert to fraction form
    2,674.65/3,692.21 = 1,718.57/x
  3. Step 3: Cross multiply
    2,674.65x = 3,692.21 × 1,718.57
  4. Step 4: Simplify right side
    2,674.65x = 6,345,321.98
  5. Step 5: Solve for x
    x = 6,345,321.98/2,674.65
  6. Step 6: Final answer
    x = 2,372.39

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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.