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Finding the Fourth Proportional to 3,130.41, 4,692.89 and 2,671.14

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Solution

The fourth proportional to 3,130.41, 4,692.89 and 2,671.14 is: 4,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.41 : 4,692.89 = 2,671.14 : x
  2. Step 2: Convert to fraction form
    3,130.41/4,692.89 = 2,671.14/x
  3. Step 3: Cross multiply
    3,130.41x = 4,692.89 × 2,671.14
  4. Step 4: Simplify right side
    3,130.41x = 12,535,352.84
  5. Step 5: Solve for x
    x = 12,535,352.84/3,130.41
  6. Step 6: Final answer
    x = 4,004.38

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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.