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Finding the Fourth Proportional to 2,124.33, 3,185.25 and 824.28

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Solution

The fourth proportional to 2,124.33, 3,185.25 and 824.28 is: 1,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.33 : 3,185.25 = 824.28 : x
  2. Step 2: Convert to fraction form
    2,124.33/3,185.25 = 824.28/x
  3. Step 3: Cross multiply
    2,124.33x = 3,185.25 × 824.28
  4. Step 4: Simplify right side
    2,124.33x = 2,625,537.87
  5. Step 5: Solve for x
    x = 2,625,537.87/2,124.33
  6. Step 6: Final answer
    x = 1,235.94

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