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Finding the Fourth Proportional to 2,130.92, 3,195.14 and 976.04

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Solution

The fourth proportional to 2,130.92, 3,195.14 and 976.04 is: 1,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.92 : 3,195.14 = 976.04 : x
  2. Step 2: Convert to fraction form
    2,130.92/3,195.14 = 976.04/x
  3. Step 3: Cross multiply
    2,130.92x = 3,195.14 × 976.04
  4. Step 4: Simplify right side
    2,130.92x = 3,118,584.45
  5. Step 5: Solve for x
    x = 3,118,584.45/2,130.92
  6. Step 6: Final answer
    x = 1,463.49

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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.