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Finding the Fourth Proportional to 3,130.64, 4,692.87 and 1,744.63

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Solution

The fourth proportional to 3,130.64, 4,692.87 and 1,744.63 is: 2,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.64 : 4,692.87 = 1,744.63 : x
  2. Step 2: Convert to fraction form
    3,130.64/4,692.87 = 1,744.63/x
  3. Step 3: Cross multiply
    3,130.64x = 4,692.87 × 1,744.63
  4. Step 4: Simplify right side
    3,130.64x = 8,187,310.06
  5. Step 5: Solve for x
    x = 8,187,310.06/3,130.64
  6. Step 6: Final answer
    x = 2,615.22

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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.