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Finding the Fourth Proportional to 3,181.60, 4,775.64 and 2,258.20

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Solution

The fourth proportional to 3,181.60, 4,775.64 and 2,258.20 is: 3,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.60 : 4,775.64 = 2,258.20 : x
  2. Step 2: Convert to fraction form
    3,181.60/4,775.64 = 2,258.20/x
  3. Step 3: Cross multiply
    3,181.60x = 4,775.64 × 2,258.20
  4. Step 4: Simplify right side
    3,181.60x = 10,784,350.25
  5. Step 5: Solve for x
    x = 10,784,350.25/3,181.60
  6. Step 6: Final answer
    x = 3,389.60

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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.