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Finding the Fourth Proportional to 2,448.22, 3,672.15 and 716.98

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Solution

The fourth proportional to 2,448.22, 3,672.15 and 716.98 is: 1,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.22 : 3,672.15 = 716.98 : x
  2. Step 2: Convert to fraction form
    2,448.22/3,672.15 = 716.98/x
  3. Step 3: Cross multiply
    2,448.22x = 3,672.15 × 716.98
  4. Step 4: Simplify right side
    2,448.22x = 2,632,858.11
  5. Step 5: Solve for x
    x = 2,632,858.11/2,448.22
  6. Step 6: Final answer
    x = 1,075.42

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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.