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Finding the Fourth Proportional to 2,804.91, 4,187.91 and 2,414.49

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Solution

The fourth proportional to 2,804.91, 4,187.91 and 2,414.49 is: 3,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.91 : 4,187.91 = 2,414.49 : x
  2. Step 2: Convert to fraction form
    2,804.91/4,187.91 = 2,414.49/x
  3. Step 3: Cross multiply
    2,804.91x = 4,187.91 × 2,414.49
  4. Step 4: Simplify right side
    2,804.91x = 10,111,666.82
  5. Step 5: Solve for x
    x = 10,111,666.82/2,804.91
  6. Step 6: Final answer
    x = 3,604.99

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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.