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Finding the Fourth Proportional to 2,683.52, 3,702.84 and 1,635.92

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Solution

The fourth proportional to 2,683.52, 3,702.84 and 1,635.92 is: 2,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.52 : 3,702.84 = 1,635.92 : x
  2. Step 2: Convert to fraction form
    2,683.52/3,702.84 = 1,635.92/x
  3. Step 3: Cross multiply
    2,683.52x = 3,702.84 × 1,635.92
  4. Step 4: Simplify right side
    2,683.52x = 6,057,550.01
  5. Step 5: Solve for x
    x = 6,057,550.01/2,683.52
  6. Step 6: Final answer
    x = 2,257.32

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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.