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Finding the Fourth Proportional to 2,682.76, 3,702.18 and 1,635.16

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Solution

The fourth proportional to 2,682.76, 3,702.18 and 1,635.16 is: 2,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.76 : 3,702.18 = 1,635.16 : x
  2. Step 2: Convert to fraction form
    2,682.76/3,702.18 = 1,635.16/x
  3. Step 3: Cross multiply
    2,682.76x = 3,702.18 × 1,635.16
  4. Step 4: Simplify right side
    2,682.76x = 6,053,656.65
  5. Step 5: Solve for x
    x = 6,053,656.65/2,682.76
  6. Step 6: Final answer
    x = 2,256.50

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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.