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Finding the Fourth Proportional to 3,172.68, 4,378.16 and 1,775.34

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Solution

The fourth proportional to 3,172.68, 4,378.16 and 1,775.34 is: 2,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.68 : 4,378.16 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    3,172.68/4,378.16 = 1,775.34/x
  3. Step 3: Cross multiply
    3,172.68x = 4,378.16 × 1,775.34
  4. Step 4: Simplify right side
    3,172.68x = 7,772,722.57
  5. Step 5: Solve for x
    x = 7,772,722.57/3,172.68
  6. Step 6: Final answer
    x = 2,449.89

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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.