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Finding the Fourth Proportional to 3,107.94, 4,284 and 2,165.10

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Solution

The fourth proportional to 3,107.94, 4,284 and 2,165.10 is: 2,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,284 = 2,165.10 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,284 = 2,165.10/x
  3. Step 3: Cross multiply
    3,107.94x = 4,284 × 2,165.10
  4. Step 4: Simplify right side
    3,107.94x = 9,275,288.40
  5. Step 5: Solve for x
    x = 9,275,288.40/3,107.94
  6. Step 6: Final answer
    x = 2,984.38

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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.