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Finding the Fourth Proportional to 2,357.49, 3,537.46 and 952.25

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Solution

The fourth proportional to 2,357.49, 3,537.46 and 952.25 is: 1,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.49 : 3,537.46 = 952.25 : x
  2. Step 2: Convert to fraction form
    2,357.49/3,537.46 = 952.25/x
  3. Step 3: Cross multiply
    2,357.49x = 3,537.46 × 952.25
  4. Step 4: Simplify right side
    2,357.49x = 3,368,556.32
  5. Step 5: Solve for x
    x = 3,368,556.32/2,357.49
  6. Step 6: Final answer
    x = 1,428.87

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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.