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Finding the Fourth Proportional to 3,022.39, 4,532.35 and 941.70

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Solution

The fourth proportional to 3,022.39, 4,532.35 and 941.70 is: 1,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.39 : 4,532.35 = 941.70 : x
  2. Step 2: Convert to fraction form
    3,022.39/4,532.35 = 941.70/x
  3. Step 3: Cross multiply
    3,022.39x = 4,532.35 × 941.70
  4. Step 4: Simplify right side
    3,022.39x = 4,268,114.00
  5. Step 5: Solve for x
    x = 4,268,114.00/3,022.39
  6. Step 6: Final answer
    x = 1,412.17

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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.