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Finding the Fourth Proportional to 2,364.60, 3,546.90 and 825.24

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Solution

The fourth proportional to 2,364.60, 3,546.90 and 825.24 is: 1,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.60 : 3,546.90 = 825.24 : x
  2. Step 2: Convert to fraction form
    2,364.60/3,546.90 = 825.24/x
  3. Step 3: Cross multiply
    2,364.60x = 3,546.90 × 825.24
  4. Step 4: Simplify right side
    2,364.60x = 2,927,043.76
  5. Step 5: Solve for x
    x = 2,927,043.76/2,364.60
  6. Step 6: Final answer
    x = 1,237.86

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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.