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Finding the Fourth Proportional to 2,129.19, 3,195.02 and 896.50

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Solution

The fourth proportional to 2,129.19, 3,195.02 and 896.50 is: 1,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.19 : 3,195.02 = 896.50 : x
  2. Step 2: Convert to fraction form
    2,129.19/3,195.02 = 896.50/x
  3. Step 3: Cross multiply
    2,129.19x = 3,195.02 × 896.50
  4. Step 4: Simplify right side
    2,129.19x = 2,864,335.43
  5. Step 5: Solve for x
    x = 2,864,335.43/2,129.19
  6. Step 6: Final answer
    x = 1,345.27

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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.