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Finding the Fourth Proportional to 2,423.49, 3,634.97 and 692.07

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Solution

The fourth proportional to 2,423.49, 3,634.97 and 692.07 is: 1,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.49 : 3,634.97 = 692.07 : x
  2. Step 2: Convert to fraction form
    2,423.49/3,634.97 = 692.07/x
  3. Step 3: Cross multiply
    2,423.49x = 3,634.97 × 692.07
  4. Step 4: Simplify right side
    2,423.49x = 2,515,650.23
  5. Step 5: Solve for x
    x = 2,515,650.23/2,423.49
  6. Step 6: Final answer
    x = 1,038.03

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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.