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Finding the Fourth Proportional to 1,846.54, 2,770.35 and 692.38

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Solution

The fourth proportional to 1,846.54, 2,770.35 and 692.38 is: 1,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.54 : 2,770.35 = 692.38 : x
  2. Step 2: Convert to fraction form
    1,846.54/2,770.35 = 692.38/x
  3. Step 3: Cross multiply
    1,846.54x = 2,770.35 × 692.38
  4. Step 4: Simplify right side
    1,846.54x = 1,918,117.62
  5. Step 5: Solve for x
    x = 1,918,117.62/1,846.54
  6. Step 6: Final answer
    x = 1,038.77

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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.