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Finding the Fourth Proportional to 3,152.80, 4,350.86 and 1,827.27

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Solution

The fourth proportional to 3,152.80, 4,350.86 and 1,827.27 is: 2,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.80 : 4,350.86 = 1,827.27 : x
  2. Step 2: Convert to fraction form
    3,152.80/4,350.86 = 1,827.27/x
  3. Step 3: Cross multiply
    3,152.80x = 4,350.86 × 1,827.27
  4. Step 4: Simplify right side
    3,152.80x = 7,950,195.95
  5. Step 5: Solve for x
    x = 7,950,195.95/3,152.80
  6. Step 6: Final answer
    x = 2,521.63

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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.