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Finding the Fourth Proportional to 2,985.71, 4,119.84 and 1,659.33

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Solution

The fourth proportional to 2,985.71, 4,119.84 and 1,659.33 is: 2,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.71 : 4,119.84 = 1,659.33 : x
  2. Step 2: Convert to fraction form
    2,985.71/4,119.84 = 1,659.33/x
  3. Step 3: Cross multiply
    2,985.71x = 4,119.84 × 1,659.33
  4. Step 4: Simplify right side
    2,985.71x = 6,836,174.11
  5. Step 5: Solve for x
    x = 6,836,174.11/2,985.71
  6. Step 6: Final answer
    x = 2,289.63

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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.