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Finding the Fourth Proportional to 2,032.94, 3,048.96 and 646.38

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Solution

The fourth proportional to 2,032.94, 3,048.96 and 646.38 is: 969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.94 : 3,048.96 = 646.38 : x
  2. Step 2: Convert to fraction form
    2,032.94/3,048.96 = 646.38/x
  3. Step 3: Cross multiply
    2,032.94x = 3,048.96 × 646.38
  4. Step 4: Simplify right side
    2,032.94x = 1,970,786.76
  5. Step 5: Solve for x
    x = 1,970,786.76/2,032.94
  6. Step 6: Final answer
    x = 969.43

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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.