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Finding the Fourth Proportional to 2,478.45, 3,716.82 and 997.23

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Solution

The fourth proportional to 2,478.45, 3,716.82 and 997.23 is: 1,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.45 : 3,716.82 = 997.23 : x
  2. Step 2: Convert to fraction form
    2,478.45/3,716.82 = 997.23/x
  3. Step 3: Cross multiply
    2,478.45x = 3,716.82 × 997.23
  4. Step 4: Simplify right side
    2,478.45x = 3,706,525.32
  5. Step 5: Solve for x
    x = 3,706,525.32/2,478.45
  6. Step 6: Final answer
    x = 1,495.50

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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.