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Finding the Fourth Proportional to 2,519.46, 3,779.19 and 959.10

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Solution

The fourth proportional to 2,519.46, 3,779.19 and 959.10 is: 1,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.46 : 3,779.19 = 959.10 : x
  2. Step 2: Convert to fraction form
    2,519.46/3,779.19 = 959.10/x
  3. Step 3: Cross multiply
    2,519.46x = 3,779.19 × 959.10
  4. Step 4: Simplify right side
    2,519.46x = 3,624,621.13
  5. Step 5: Solve for x
    x = 3,624,621.13/2,519.46
  6. Step 6: Final answer
    x = 1,438.65

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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.