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Finding the Fourth Proportional to 3,022.60, 4,532.28 and 941.72

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Solution

The fourth proportional to 3,022.60, 4,532.28 and 941.72 is: 1,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.60 : 4,532.28 = 941.72 : x
  2. Step 2: Convert to fraction form
    3,022.60/4,532.28 = 941.72/x
  3. Step 3: Cross multiply
    3,022.60x = 4,532.28 × 941.72
  4. Step 4: Simplify right side
    3,022.60x = 4,268,138.72
  5. Step 5: Solve for x
    x = 4,268,138.72/3,022.60
  6. Step 6: Final answer
    x = 1,412.08

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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.