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Finding the Fourth Proportional to 2,070.12, 2,856.92 and 1,138.62

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Solution

The fourth proportional to 2,070.12, 2,856.92 and 1,138.62 is: 1,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.12 : 2,856.92 = 1,138.62 : x
  2. Step 2: Convert to fraction form
    2,070.12/2,856.92 = 1,138.62/x
  3. Step 3: Cross multiply
    2,070.12x = 2,856.92 × 1,138.62
  4. Step 4: Simplify right side
    2,070.12x = 3,252,946.25
  5. Step 5: Solve for x
    x = 3,252,946.25/2,070.12
  6. Step 6: Final answer
    x = 1,571.38

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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.