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Finding the Fourth Proportional to 2,633.76, 3,633.35 and 1,738.44

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Solution

The fourth proportional to 2,633.76, 3,633.35 and 1,738.44 is: 2,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.76 : 3,633.35 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    2,633.76/3,633.35 = 1,738.44/x
  3. Step 3: Cross multiply
    2,633.76x = 3,633.35 × 1,738.44
  4. Step 4: Simplify right side
    2,633.76x = 6,316,352.28
  5. Step 5: Solve for x
    x = 6,316,352.28/2,633.76
  6. Step 6: Final answer
    x = 2,398.23

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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.