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Finding the Fourth Proportional to 2,357.25, 3,253.08 and 1,309.38

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Solution

The fourth proportional to 2,357.25, 3,253.08 and 1,309.38 is: 1,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.25 : 3,253.08 = 1,309.38 : x
  2. Step 2: Convert to fraction form
    2,357.25/3,253.08 = 1,309.38/x
  3. Step 3: Cross multiply
    2,357.25x = 3,253.08 × 1,309.38
  4. Step 4: Simplify right side
    2,357.25x = 4,259,517.89
  5. Step 5: Solve for x
    x = 4,259,517.89/2,357.25
  6. Step 6: Final answer
    x = 1,806.99

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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.