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Finding the Fourth Proportional to 2,794.60, 4,188.84 and 1,405.72

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Solution

The fourth proportional to 2,794.60, 4,188.84 and 1,405.72 is: 2,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.60 : 4,188.84 = 1,405.72 : x
  2. Step 2: Convert to fraction form
    2,794.60/4,188.84 = 1,405.72/x
  3. Step 3: Cross multiply
    2,794.60x = 4,188.84 × 1,405.72
  4. Step 4: Simplify right side
    2,794.60x = 5,888,336.16
  5. Step 5: Solve for x
    x = 5,888,336.16/2,794.60
  6. Step 6: Final answer
    x = 2,107.04

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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.