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Finding the Fourth Proportional to 2,405.85, 3,614.18 and 2,341.05

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Solution

The fourth proportional to 2,405.85, 3,614.18 and 2,341.05 is: 3,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.85 : 3,614.18 = 2,341.05 : x
  2. Step 2: Convert to fraction form
    2,405.85/3,614.18 = 2,341.05/x
  3. Step 3: Cross multiply
    2,405.85x = 3,614.18 × 2,341.05
  4. Step 4: Simplify right side
    2,405.85x = 8,460,964.38
  5. Step 5: Solve for x
    x = 8,460,964.38/2,405.85
  6. Step 6: Final answer
    x = 3,516.83

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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.