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Finding the Fourth Proportional to 2,959.56, 4,438.09 and 1,314.98

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Solution

The fourth proportional to 2,959.56, 4,438.09 and 1,314.98 is: 1,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.56 : 4,438.09 = 1,314.98 : x
  2. Step 2: Convert to fraction form
    2,959.56/4,438.09 = 1,314.98/x
  3. Step 3: Cross multiply
    2,959.56x = 4,438.09 × 1,314.98
  4. Step 4: Simplify right side
    2,959.56x = 5,836,020.65
  5. Step 5: Solve for x
    x = 5,836,020.65/2,959.56
  6. Step 6: Final answer
    x = 1,971.92

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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.