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Finding the Fourth Proportional to 2,828.28, 3,900.08 and 1,709

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Solution

The fourth proportional to 2,828.28, 3,900.08 and 1,709 is: 2,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.28 : 3,900.08 = 1,709 : x
  2. Step 2: Convert to fraction form
    2,828.28/3,900.08 = 1,709/x
  3. Step 3: Cross multiply
    2,828.28x = 3,900.08 × 1,709
  4. Step 4: Simplify right side
    2,828.28x = 6,665,236.72
  5. Step 5: Solve for x
    x = 6,665,236.72/2,828.28
  6. Step 6: Final answer
    x = 2,356.64

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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.