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Finding the Fourth Proportional to 3,181.65, 4,772.48 and 2,124.60

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Solution

The fourth proportional to 3,181.65, 4,772.48 and 2,124.60 is: 3,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.65 : 4,772.48 = 2,124.60 : x
  2. Step 2: Convert to fraction form
    3,181.65/4,772.48 = 2,124.60/x
  3. Step 3: Cross multiply
    3,181.65x = 4,772.48 × 2,124.60
  4. Step 4: Simplify right side
    3,181.65x = 10,139,600.39
  5. Step 5: Solve for x
    x = 10,139,600.39/3,181.65
  6. Step 6: Final answer
    x = 3,186.90

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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.