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Finding the Fourth Proportional to 2,865.37, 3,954.96 and 1,686.82

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Solution

The fourth proportional to 2,865.37, 3,954.96 and 1,686.82 is: 2,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.37 : 3,954.96 = 1,686.82 : x
  2. Step 2: Convert to fraction form
    2,865.37/3,954.96 = 1,686.82/x
  3. Step 3: Cross multiply
    2,865.37x = 3,954.96 × 1,686.82
  4. Step 4: Simplify right side
    2,865.37x = 6,671,305.63
  5. Step 5: Solve for x
    x = 6,671,305.63/2,865.37
  6. Step 6: Final answer
    x = 2,328.25

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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.