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Finding the Fourth Proportional to 2,095.05, 3,142.50 and 846.18

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Solution

The fourth proportional to 2,095.05, 3,142.50 and 846.18 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.05 : 3,142.50 = 846.18 : x
  2. Step 2: Convert to fraction form
    2,095.05/3,142.50 = 846.18/x
  3. Step 3: Cross multiply
    2,095.05x = 3,142.50 × 846.18
  4. Step 4: Simplify right side
    2,095.05x = 2,659,120.65
  5. Step 5: Solve for x
    x = 2,659,120.65/2,095.05
  6. Step 6: Final answer
    x = 1,269.24

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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.