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Finding the Fourth Proportional to 2,135.49, 3,188.99 and 2,026.14

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Solution

The fourth proportional to 2,135.49, 3,188.99 and 2,026.14 is: 3,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.49 : 3,188.99 = 2,026.14 : x
  2. Step 2: Convert to fraction form
    2,135.49/3,188.99 = 2,026.14/x
  3. Step 3: Cross multiply
    2,135.49x = 3,188.99 × 2,026.14
  4. Step 4: Simplify right side
    2,135.49x = 6,461,324.25
  5. Step 5: Solve for x
    x = 6,461,324.25/2,135.49
  6. Step 6: Final answer
    x = 3,025.69

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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.