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Finding the Fourth Proportional to 2,856.16, 3,940.14 and 1,661.14

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Solution

The fourth proportional to 2,856.16, 3,940.14 and 1,661.14 is: 2,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.16 : 3,940.14 = 1,661.14 : x
  2. Step 2: Convert to fraction form
    2,856.16/3,940.14 = 1,661.14/x
  3. Step 3: Cross multiply
    2,856.16x = 3,940.14 × 1,661.14
  4. Step 4: Simplify right side
    2,856.16x = 6,545,124.16
  5. Step 5: Solve for x
    x = 6,545,124.16/2,856.16
  6. Step 6: Final answer
    x = 2,291.58

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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.