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Finding the Fourth Proportional to 2,682.53, 3,702.20 and 1,786.22

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Solution

The fourth proportional to 2,682.53, 3,702.20 and 1,786.22 is: 2,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.53 : 3,702.20 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    2,682.53/3,702.20 = 1,786.22/x
  3. Step 3: Cross multiply
    2,682.53x = 3,702.20 × 1,786.22
  4. Step 4: Simplify right side
    2,682.53x = 6,612,916.24
  5. Step 5: Solve for x
    x = 6,612,916.24/2,682.53
  6. Step 6: Final answer
    x = 2,465.18

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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.