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Finding the Fourth Proportional to 2,513.37, 3,770.41 and 953.95

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Solution

The fourth proportional to 2,513.37, 3,770.41 and 953.95 is: 1,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.37 : 3,770.41 = 953.95 : x
  2. Step 2: Convert to fraction form
    2,513.37/3,770.41 = 953.95/x
  3. Step 3: Cross multiply
    2,513.37x = 3,770.41 × 953.95
  4. Step 4: Simplify right side
    2,513.37x = 3,596,782.62
  5. Step 5: Solve for x
    x = 3,596,782.62/2,513.37
  6. Step 6: Final answer
    x = 1,431.06

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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.