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Finding the Fourth Proportional to 2,032.39, 3,048.72 and 716.32

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Solution

The fourth proportional to 2,032.39, 3,048.72 and 716.32 is: 1,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.39 : 3,048.72 = 716.32 : x
  2. Step 2: Convert to fraction form
    2,032.39/3,048.72 = 716.32/x
  3. Step 3: Cross multiply
    2,032.39x = 3,048.72 × 716.32
  4. Step 4: Simplify right side
    2,032.39x = 2,183,859.11
  5. Step 5: Solve for x
    x = 2,183,859.11/2,032.39
  6. Step 6: Final answer
    x = 1,074.53

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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.