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Finding the Fourth Proportional to 2,136.32, 2,947.84 and 1,308.16

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Solution

The fourth proportional to 2,136.32, 2,947.84 and 1,308.16 is: 1,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.32 : 2,947.84 = 1,308.16 : x
  2. Step 2: Convert to fraction form
    2,136.32/2,947.84 = 1,308.16/x
  3. Step 3: Cross multiply
    2,136.32x = 2,947.84 × 1,308.16
  4. Step 4: Simplify right side
    2,136.32x = 3,856,246.37
  5. Step 5: Solve for x
    x = 3,856,246.37/2,136.32
  6. Step 6: Final answer
    x = 1,805.09

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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.