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Finding the Fourth Proportional to 3,172.50, 4,377.98 and 1,775.24

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Solution

The fourth proportional to 3,172.50, 4,377.98 and 1,775.24 is: 2,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.50 : 4,377.98 = 1,775.24 : x
  2. Step 2: Convert to fraction form
    3,172.50/4,377.98 = 1,775.24/x
  3. Step 3: Cross multiply
    3,172.50x = 4,377.98 × 1,775.24
  4. Step 4: Simplify right side
    3,172.50x = 7,771,965.22
  5. Step 5: Solve for x
    x = 7,771,965.22/3,172.50
  6. Step 6: Final answer
    x = 2,449.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.