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Finding the Fourth Proportional to 3,109.42, 4,662.98 and 1,260.05

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Solution

The fourth proportional to 3,109.42, 4,662.98 and 1,260.05 is: 1,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.42 : 4,662.98 = 1,260.05 : x
  2. Step 2: Convert to fraction form
    3,109.42/4,662.98 = 1,260.05/x
  3. Step 3: Cross multiply
    3,109.42x = 4,662.98 × 1,260.05
  4. Step 4: Simplify right side
    3,109.42x = 5,875,581.65
  5. Step 5: Solve for x
    x = 5,875,581.65/3,109.42
  6. Step 6: Final answer
    x = 1,889.61

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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.