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Finding the Fourth Proportional to 2,835.70, 3,912.62 and 1,716.62

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Solution

The fourth proportional to 2,835.70, 3,912.62 and 1,716.62 is: 2,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.70 : 3,912.62 = 1,716.62 : x
  2. Step 2: Convert to fraction form
    2,835.70/3,912.62 = 1,716.62/x
  3. Step 3: Cross multiply
    2,835.70x = 3,912.62 × 1,716.62
  4. Step 4: Simplify right side
    2,835.70x = 6,716,502.64
  5. Step 5: Solve for x
    x = 6,716,502.64/2,835.70
  6. Step 6: Final answer
    x = 2,368.56

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Why These Related Problems?

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