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Finding the Fourth Proportional to 2,448.01, 3,672.14 and 804.52

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Solution

The fourth proportional to 2,448.01, 3,672.14 and 804.52 is: 1,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.01 : 3,672.14 = 804.52 : x
  2. Step 2: Convert to fraction form
    2,448.01/3,672.14 = 804.52/x
  3. Step 3: Cross multiply
    2,448.01x = 3,672.14 × 804.52
  4. Step 4: Simplify right side
    2,448.01x = 2,954,310.64
  5. Step 5: Solve for x
    x = 2,954,310.64/2,448.01
  6. Step 6: Final answer
    x = 1,206.82

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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.