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Finding the Fourth Proportional to 2,467.51, 3,701.27 and 824.07

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Solution

The fourth proportional to 2,467.51, 3,701.27 and 824.07 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.51 : 3,701.27 = 824.07 : x
  2. Step 2: Convert to fraction form
    2,467.51/3,701.27 = 824.07/x
  3. Step 3: Cross multiply
    2,467.51x = 3,701.27 × 824.07
  4. Step 4: Simplify right side
    2,467.51x = 3,050,105.57
  5. Step 5: Solve for x
    x = 3,050,105.57/2,467.51
  6. Step 6: Final answer
    x = 1,236.11

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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.