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Finding the Fourth Proportional to 2,894.96, 3,995.45 and 1,636.52

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Solution

The fourth proportional to 2,894.96, 3,995.45 and 1,636.52 is: 2,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.96 : 3,995.45 = 1,636.52 : x
  2. Step 2: Convert to fraction form
    2,894.96/3,995.45 = 1,636.52/x
  3. Step 3: Cross multiply
    2,894.96x = 3,995.45 × 1,636.52
  4. Step 4: Simplify right side
    2,894.96x = 6,538,605.67
  5. Step 5: Solve for x
    x = 6,538,605.67/2,894.96
  6. Step 6: Final answer
    x = 2,258.62

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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.