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Finding the Fourth Proportional to 2,789.52, 4,184.67 and 941.17

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Solution

The fourth proportional to 2,789.52, 4,184.67 and 941.17 is: 1,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.52 : 4,184.67 = 941.17 : x
  2. Step 2: Convert to fraction form
    2,789.52/4,184.67 = 941.17/x
  3. Step 3: Cross multiply
    2,789.52x = 4,184.67 × 941.17
  4. Step 4: Simplify right side
    2,789.52x = 3,938,485.86
  5. Step 5: Solve for x
    x = 3,938,485.86/2,789.52
  6. Step 6: Final answer
    x = 1,411.89

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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.