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Finding the Fourth Proportional to 2,807.63, 3,874.36 and 1,687.91

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Solution

The fourth proportional to 2,807.63, 3,874.36 and 1,687.91 is: 2,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.63 : 3,874.36 = 1,687.91 : x
  2. Step 2: Convert to fraction form
    2,807.63/3,874.36 = 1,687.91/x
  3. Step 3: Cross multiply
    2,807.63x = 3,874.36 × 1,687.91
  4. Step 4: Simplify right side
    2,807.63x = 6,539,570.99
  5. Step 5: Solve for x
    x = 6,539,570.99/2,807.63
  6. Step 6: Final answer
    x = 2,329.21

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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.