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Finding the Fourth Proportional to 2,950.16, 4,069.86 and 1,902.56

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Solution

The fourth proportional to 2,950.16, 4,069.86 and 1,902.56 is: 2,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.16 : 4,069.86 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    2,950.16/4,069.86 = 1,902.56/x
  3. Step 3: Cross multiply
    2,950.16x = 4,069.86 × 1,902.56
  4. Step 4: Simplify right side
    2,950.16x = 7,743,152.84
  5. Step 5: Solve for x
    x = 7,743,152.84/2,950.16
  6. Step 6: Final answer
    x = 2,624.66

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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.