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Finding the Fourth Proportional to 2,439.56, 3,662.50 and 2,095.12

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Solution

The fourth proportional to 2,439.56, 3,662.50 and 2,095.12 is: 3,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.56 : 3,662.50 = 2,095.12 : x
  2. Step 2: Convert to fraction form
    2,439.56/3,662.50 = 2,095.12/x
  3. Step 3: Cross multiply
    2,439.56x = 3,662.50 × 2,095.12
  4. Step 4: Simplify right side
    2,439.56x = 7,673,377
  5. Step 5: Solve for x
    x = 7,673,377/2,439.56
  6. Step 6: Final answer
    x = 3,145.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.