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Finding the Fourth Proportional to 2,070.38, 2,857.14 and 1,138.88

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Solution

The fourth proportional to 2,070.38, 2,857.14 and 1,138.88 is: 1,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.38 : 2,857.14 = 1,138.88 : x
  2. Step 2: Convert to fraction form
    2,070.38/2,857.14 = 1,138.88/x
  3. Step 3: Cross multiply
    2,070.38x = 2,857.14 × 1,138.88
  4. Step 4: Simplify right side
    2,070.38x = 3,253,925.32
  5. Step 5: Solve for x
    x = 3,253,925.32/2,070.38
  6. Step 6: Final answer
    x = 1,571.66

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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.