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Finding the Fourth Proportional to 2,789.48, 4,184.86 and 940.55

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Solution

The fourth proportional to 2,789.48, 4,184.86 and 940.55 is: 1,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.48 : 4,184.86 = 940.55 : x
  2. Step 2: Convert to fraction form
    2,789.48/4,184.86 = 940.55/x
  3. Step 3: Cross multiply
    2,789.48x = 4,184.86 × 940.55
  4. Step 4: Simplify right side
    2,789.48x = 3,936,070.07
  5. Step 5: Solve for x
    x = 3,936,070.07/2,789.48
  6. Step 6: Final answer
    x = 1,411.04

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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.