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Finding the Fourth Proportional to 3,130.41, 4,320.81 and 1,950.78

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Solution

The fourth proportional to 3,130.41, 4,320.81 and 1,950.78 is: 2,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.41 : 4,320.81 = 1,950.78 : x
  2. Step 2: Convert to fraction form
    3,130.41/4,320.81 = 1,950.78/x
  3. Step 3: Cross multiply
    3,130.41x = 4,320.81 × 1,950.78
  4. Step 4: Simplify right side
    3,130.41x = 8,428,949.73
  5. Step 5: Solve for x
    x = 8,428,949.73/3,130.41
  6. Step 6: Final answer
    x = 2,692.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.