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Finding the Fourth Proportional to 2,129.69, 3,172.92 and 2,025.13

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Solution

The fourth proportional to 2,129.69, 3,172.92 and 2,025.13 is: 3,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.69 : 3,172.92 = 2,025.13 : x
  2. Step 2: Convert to fraction form
    2,129.69/3,172.92 = 2,025.13/x
  3. Step 3: Cross multiply
    2,129.69x = 3,172.92 × 2,025.13
  4. Step 4: Simplify right side
    2,129.69x = 6,425,575.48
  5. Step 5: Solve for x
    x = 6,425,575.48/2,129.69
  6. Step 6: Final answer
    x = 3,017.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.