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Finding the Fourth Proportional to 2,032.81, 3,049.31 and 716.39

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Solution

The fourth proportional to 2,032.81, 3,049.31 and 716.39 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.81 : 3,049.31 = 716.39 : x
  2. Step 2: Convert to fraction form
    2,032.81/3,049.31 = 716.39/x
  3. Step 3: Cross multiply
    2,032.81x = 3,049.31 × 716.39
  4. Step 4: Simplify right side
    2,032.81x = 2,184,495.19
  5. Step 5: Solve for x
    x = 2,184,495.19/2,032.81
  6. Step 6: Final answer
    x = 1,074.62

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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.