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Finding the Fourth Proportional to 2,695.77, 4,042.10 and 1,234.14

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Solution

The fourth proportional to 2,695.77, 4,042.10 and 1,234.14 is: 1,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.77 : 4,042.10 = 1,234.14 : x
  2. Step 2: Convert to fraction form
    2,695.77/4,042.10 = 1,234.14/x
  3. Step 3: Cross multiply
    2,695.77x = 4,042.10 × 1,234.14
  4. Step 4: Simplify right side
    2,695.77x = 4,988,511.12
  5. Step 5: Solve for x
    x = 4,988,511.12/2,695.77
  6. Step 6: Final answer
    x = 1,850.50

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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.