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Finding the Fourth Proportional to 2,128, 2,936.76 and 1,196.50

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Solution

The fourth proportional to 2,128, 2,936.76 and 1,196.50 is: 1,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128 : 2,936.76 = 1,196.50 : x
  2. Step 2: Convert to fraction form
    2,128/2,936.76 = 1,196.50/x
  3. Step 3: Cross multiply
    2,128x = 2,936.76 × 1,196.50
  4. Step 4: Simplify right side
    2,128x = 3,513,833.34
  5. Step 5: Solve for x
    x = 3,513,833.34/2,128
  6. Step 6: Final answer
    x = 1,651.24

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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.