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Finding the Fourth Proportional to 3,170.49, 4,755.92 and 1,415.63

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Solution

The fourth proportional to 3,170.49, 4,755.92 and 1,415.63 is: 2,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.49 : 4,755.92 = 1,415.63 : x
  2. Step 2: Convert to fraction form
    3,170.49/4,755.92 = 1,415.63/x
  3. Step 3: Cross multiply
    3,170.49x = 4,755.92 × 1,415.63
  4. Step 4: Simplify right side
    3,170.49x = 6,732,601.09
  5. Step 5: Solve for x
    x = 6,732,601.09/3,170.49
  6. Step 6: Final answer
    x = 2,123.52

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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.