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Finding the Fourth Proportional to 2,682.92, 3,702.31 and 1,504.10

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Solution

The fourth proportional to 2,682.92, 3,702.31 and 1,504.10 is: 2,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.92 : 3,702.31 = 1,504.10 : x
  2. Step 2: Convert to fraction form
    2,682.92/3,702.31 = 1,504.10/x
  3. Step 3: Cross multiply
    2,682.92x = 3,702.31 × 1,504.10
  4. Step 4: Simplify right side
    2,682.92x = 5,568,649.97
  5. Step 5: Solve for x
    x = 5,568,649.97/2,682.92
  6. Step 6: Final answer
    x = 2,075.59

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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.