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Finding the Fourth Proportional to 2,364.72, 3,547.24 and 825.84

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Solution

The fourth proportional to 2,364.72, 3,547.24 and 825.84 is: 1,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.72 : 3,547.24 = 825.84 : x
  2. Step 2: Convert to fraction form
    2,364.72/3,547.24 = 825.84/x
  3. Step 3: Cross multiply
    2,364.72x = 3,547.24 × 825.84
  4. Step 4: Simplify right side
    2,364.72x = 2,929,452.68
  5. Step 5: Solve for x
    x = 2,929,452.68/2,364.72
  6. Step 6: Final answer
    x = 1,238.82

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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.