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Finding the Fourth Proportional to 2,448.35, 3,672.52 and 716.97

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Solution

The fourth proportional to 2,448.35, 3,672.52 and 716.97 is: 1,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.35 : 3,672.52 = 716.97 : x
  2. Step 2: Convert to fraction form
    2,448.35/3,672.52 = 716.97/x
  3. Step 3: Cross multiply
    2,448.35x = 3,672.52 × 716.97
  4. Step 4: Simplify right side
    2,448.35x = 2,633,084.87
  5. Step 5: Solve for x
    x = 2,633,084.87/2,448.35
  6. Step 6: Final answer
    x = 1,075.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.