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Finding the Fourth Proportional to 2,534.27, 3,801.63 and 685.40

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Solution

The fourth proportional to 2,534.27, 3,801.63 and 685.40 is: 1,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.27 : 3,801.63 = 685.40 : x
  2. Step 2: Convert to fraction form
    2,534.27/3,801.63 = 685.40/x
  3. Step 3: Cross multiply
    2,534.27x = 3,801.63 × 685.40
  4. Step 4: Simplify right side
    2,534.27x = 2,605,618.19
  5. Step 5: Solve for x
    x = 2,605,618.19/2,534.27
  6. Step 6: Final answer
    x = 1,028.16

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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.