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Finding the Fourth Proportional to 2,998.62, 4,138.29 and 2,065.50

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Solution

The fourth proportional to 2,998.62, 4,138.29 and 2,065.50 is: 2,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.62 : 4,138.29 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    2,998.62/4,138.29 = 2,065.50/x
  3. Step 3: Cross multiply
    2,998.62x = 4,138.29 × 2,065.50
  4. Step 4: Simplify right side
    2,998.62x = 8,547,638.00
  5. Step 5: Solve for x
    x = 8,547,638.00/2,998.62
  6. Step 6: Final answer
    x = 2,850.52

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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.