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Finding the Fourth Proportional to 2,673.53, 4,010.99 and 824.60

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Solution

The fourth proportional to 2,673.53, 4,010.99 and 824.60 is: 1,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.53 : 4,010.99 = 824.60 : x
  2. Step 2: Convert to fraction form
    2,673.53/4,010.99 = 824.60/x
  3. Step 3: Cross multiply
    2,673.53x = 4,010.99 × 824.60
  4. Step 4: Simplify right side
    2,673.53x = 3,307,468.26
  5. Step 5: Solve for x
    x = 3,307,468.26/2,673.53
  6. Step 6: Final answer
    x = 1,237.12

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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.