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Finding the Fourth Proportional to 2,903.52, 4,006.77 and 1,644.54

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Solution

The fourth proportional to 2,903.52, 4,006.77 and 1,644.54 is: 2,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.52 : 4,006.77 = 1,644.54 : x
  2. Step 2: Convert to fraction form
    2,903.52/4,006.77 = 1,644.54/x
  3. Step 3: Cross multiply
    2,903.52x = 4,006.77 × 1,644.54
  4. Step 4: Simplify right side
    2,903.52x = 6,589,293.54
  5. Step 5: Solve for x
    x = 6,589,293.54/2,903.52
  6. Step 6: Final answer
    x = 2,269.42

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1.5x scale

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.