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Finding the Fourth Proportional to 2,856.49, 3,943.14 and 2,070.38

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Solution

The fourth proportional to 2,856.49, 3,943.14 and 2,070.38 is: 2,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.49 : 3,943.14 = 2,070.38 : x
  2. Step 2: Convert to fraction form
    2,856.49/3,943.14 = 2,070.38/x
  3. Step 3: Cross multiply
    2,856.49x = 3,943.14 × 2,070.38
  4. Step 4: Simplify right side
    2,856.49x = 8,163,798.19
  5. Step 5: Solve for x
    x = 8,163,798.19/2,856.49
  6. Step 6: Final answer
    x = 2,857.99

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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.