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Finding the Fourth Proportional to 2,606.71, 3,900.25 and 1,828.23

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Solution

The fourth proportional to 2,606.71, 3,900.25 and 1,828.23 is: 2,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.71 : 3,900.25 = 1,828.23 : x
  2. Step 2: Convert to fraction form
    2,606.71/3,900.25 = 1,828.23/x
  3. Step 3: Cross multiply
    2,606.71x = 3,900.25 × 1,828.23
  4. Step 4: Simplify right side
    2,606.71x = 7,130,549.03
  5. Step 5: Solve for x
    x = 7,130,549.03/2,606.71
  6. Step 6: Final answer
    x = 2,735.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.