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Finding the Fourth Proportional to 1,382.02, 1,906.08 and 1,215.88

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Solution

The fourth proportional to 1,382.02, 1,906.08 and 1,215.88 is: 1,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.02 : 1,906.08 = 1,215.88 : x
  2. Step 2: Convert to fraction form
    1,382.02/1,906.08 = 1,215.88/x
  3. Step 3: Cross multiply
    1,382.02x = 1,906.08 × 1,215.88
  4. Step 4: Simplify right side
    1,382.02x = 2,317,564.55
  5. Step 5: Solve for x
    x = 2,317,564.55/1,382.02
  6. Step 6: Final answer
    x = 1,676.94

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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.