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Finding the Fourth Proportional to 2,147.38, 2,960.48 and 1,835.99

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Solution

The fourth proportional to 2,147.38, 2,960.48 and 1,835.99 is: 2,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.38 : 2,960.48 = 1,835.99 : x
  2. Step 2: Convert to fraction form
    2,147.38/2,960.48 = 1,835.99/x
  3. Step 3: Cross multiply
    2,147.38x = 2,960.48 × 1,835.99
  4. Step 4: Simplify right side
    2,147.38x = 5,435,411.68
  5. Step 5: Solve for x
    x = 5,435,411.68/2,147.38
  6. Step 6: Final answer
    x = 2,531.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.