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Finding the Fourth Proportional to 2,673.68, 4,010.88 and 824.96

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Solution

The fourth proportional to 2,673.68, 4,010.88 and 824.96 is: 1,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.68 : 4,010.88 = 824.96 : x
  2. Step 2: Convert to fraction form
    2,673.68/4,010.88 = 824.96/x
  3. Step 3: Cross multiply
    2,673.68x = 4,010.88 × 824.96
  4. Step 4: Simplify right side
    2,673.68x = 3,308,815.56
  5. Step 5: Solve for x
    x = 3,308,815.56/2,673.68
  6. Step 6: Final answer
    x = 1,237.55

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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.