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Finding the Fourth Proportional to 2,939.60, 4,405.80 and 1,294.40

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Solution

The fourth proportional to 2,939.60, 4,405.80 and 1,294.40 is: 1,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.60 : 4,405.80 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    2,939.60/4,405.80 = 1,294.40/x
  3. Step 3: Cross multiply
    2,939.60x = 4,405.80 × 1,294.40
  4. Step 4: Simplify right side
    2,939.60x = 5,702,867.52
  5. Step 5: Solve for x
    x = 5,702,867.52/2,939.60
  6. Step 6: Final answer
    x = 1,940.01

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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.