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Finding the Fourth Proportional to 2,129.56, 3,196.50 and 1,513.96

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Solution

The fourth proportional to 2,129.56, 3,196.50 and 1,513.96 is: 2,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.56 : 3,196.50 = 1,513.96 : x
  2. Step 2: Convert to fraction form
    2,129.56/3,196.50 = 1,513.96/x
  3. Step 3: Cross multiply
    2,129.56x = 3,196.50 × 1,513.96
  4. Step 4: Simplify right side
    2,129.56x = 4,839,373.14
  5. Step 5: Solve for x
    x = 4,839,373.14/2,129.56
  6. Step 6: Final answer
    x = 2,272.48

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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.