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Finding the Fourth Proportional to 3,172.60, 4,378.08 and 1,846.23

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Solution

The fourth proportional to 3,172.60, 4,378.08 and 1,846.23 is: 2,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.60 : 4,378.08 = 1,846.23 : x
  2. Step 2: Convert to fraction form
    3,172.60/4,378.08 = 1,846.23/x
  3. Step 3: Cross multiply
    3,172.60x = 4,378.08 × 1,846.23
  4. Step 4: Simplify right side
    3,172.60x = 8,082,942.64
  5. Step 5: Solve for x
    x = 8,082,942.64/3,172.60
  6. Step 6: Final answer
    x = 2,547.73

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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.