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Finding the Fourth Proportional to 3,028.22, 4,541.70 and 947.94

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Solution

The fourth proportional to 3,028.22, 4,541.70 and 947.94 is: 1,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.22 : 4,541.70 = 947.94 : x
  2. Step 2: Convert to fraction form
    3,028.22/4,541.70 = 947.94/x
  3. Step 3: Cross multiply
    3,028.22x = 4,541.70 × 947.94
  4. Step 4: Simplify right side
    3,028.22x = 4,305,259.10
  5. Step 5: Solve for x
    x = 4,305,259.10/3,028.22
  6. Step 6: Final answer
    x = 1,421.71

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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.