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Finding the Fourth Proportional to 2,039.81, 3,058.70 and 869.63

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Solution

The fourth proportional to 2,039.81, 3,058.70 and 869.63 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.81 : 3,058.70 = 869.63 : x
  2. Step 2: Convert to fraction form
    2,039.81/3,058.70 = 869.63/x
  3. Step 3: Cross multiply
    2,039.81x = 3,058.70 × 869.63
  4. Step 4: Simplify right side
    2,039.81x = 2,659,917.64
  5. Step 5: Solve for x
    x = 2,659,917.64/2,039.81
  6. Step 6: Final answer
    x = 1,304.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.