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Finding the Fourth Proportional to 2,216.70, 3,057.42 and 1,376.46

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Solution

The fourth proportional to 2,216.70, 3,057.42 and 1,376.46 is: 1,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.70 : 3,057.42 = 1,376.46 : x
  2. Step 2: Convert to fraction form
    2,216.70/3,057.42 = 1,376.46/x
  3. Step 3: Cross multiply
    2,216.70x = 3,057.42 × 1,376.46
  4. Step 4: Simplify right side
    2,216.70x = 4,208,416.33
  5. Step 5: Solve for x
    x = 4,208,416.33/2,216.70
  6. Step 6: Final answer
    x = 1,898.51

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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.