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Finding the Fourth Proportional to 3,211.60, 4,815.60 and 1,478.08

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Solution

The fourth proportional to 3,211.60, 4,815.60 and 1,478.08 is: 2,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.60 : 4,815.60 = 1,478.08 : x
  2. Step 2: Convert to fraction form
    3,211.60/4,815.60 = 1,478.08/x
  3. Step 3: Cross multiply
    3,211.60x = 4,815.60 × 1,478.08
  4. Step 4: Simplify right side
    3,211.60x = 7,117,842.05
  5. Step 5: Solve for x
    x = 7,117,842.05/3,211.60
  6. Step 6: Final answer
    x = 2,216.29

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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.