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Finding the Fourth Proportional to 2,070.96, 3,107.50 and 1,378.12

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Solution

The fourth proportional to 2,070.96, 3,107.50 and 1,378.12 is: 2,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.96 : 3,107.50 = 1,378.12 : x
  2. Step 2: Convert to fraction form
    2,070.96/3,107.50 = 1,378.12/x
  3. Step 3: Cross multiply
    2,070.96x = 3,107.50 × 1,378.12
  4. Step 4: Simplify right side
    2,070.96x = 4,282,507.90
  5. Step 5: Solve for x
    x = 4,282,507.90/2,070.96
  6. Step 6: Final answer
    x = 2,067.89

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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.