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Finding the Fourth Proportional to 1,631.54, 2,447.45 and 461.55

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Solution

The fourth proportional to 1,631.54, 2,447.45 and 461.55 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.54 : 2,447.45 = 461.55 : x
  2. Step 2: Convert to fraction form
    1,631.54/2,447.45 = 461.55/x
  3. Step 3: Cross multiply
    1,631.54x = 2,447.45 × 461.55
  4. Step 4: Simplify right side
    1,631.54x = 1,129,618.24
  5. Step 5: Solve for x
    x = 1,129,618.24/1,631.54
  6. Step 6: Final answer
    x = 692.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.