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Finding the Fourth Proportional to 4,142.66, 6,210.95 and 1,950.19

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Solution

The fourth proportional to 4,142.66, 6,210.95 and 1,950.19 is: 2,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.66 : 6,210.95 = 1,950.19 : x
  2. Step 2: Convert to fraction form
    4,142.66/6,210.95 = 1,950.19/x
  3. Step 3: Cross multiply
    4,142.66x = 6,210.95 × 1,950.19
  4. Step 4: Simplify right side
    4,142.66x = 12,112,507.30
  5. Step 5: Solve for x
    x = 12,112,507.30/4,142.66
  6. Step 6: Final answer
    x = 2,923.85

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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.