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Finding the Fourth Proportional to 3,129.36, 4,318.56 and 1,871.34

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Solution

The fourth proportional to 3,129.36, 4,318.56 and 1,871.34 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.36 : 4,318.56 = 1,871.34 : x
  2. Step 2: Convert to fraction form
    3,129.36/4,318.56 = 1,871.34/x
  3. Step 3: Cross multiply
    3,129.36x = 4,318.56 × 1,871.34
  4. Step 4: Simplify right side
    3,129.36x = 8,081,494.07
  5. Step 5: Solve for x
    x = 8,081,494.07/3,129.36
  6. Step 6: Final answer
    x = 2,582.48

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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.