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Finding the Fourth Proportional to 2,137.84, 3,207.32 and 905.30

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Solution

The fourth proportional to 2,137.84, 3,207.32 and 905.30 is: 1,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.84 : 3,207.32 = 905.30 : x
  2. Step 2: Convert to fraction form
    2,137.84/3,207.32 = 905.30/x
  3. Step 3: Cross multiply
    2,137.84x = 3,207.32 × 905.30
  4. Step 4: Simplify right side
    2,137.84x = 2,903,586.80
  5. Step 5: Solve for x
    x = 2,903,586.80/2,137.84
  6. Step 6: Final answer
    x = 1,358.19

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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.