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Finding the Fourth Proportional to 2,638.88, 3,640.07 and 1,742.63

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Solution

The fourth proportional to 2,638.88, 3,640.07 and 1,742.63 is: 2,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.88 : 3,640.07 = 1,742.63 : x
  2. Step 2: Convert to fraction form
    2,638.88/3,640.07 = 1,742.63/x
  3. Step 3: Cross multiply
    2,638.88x = 3,640.07 × 1,742.63
  4. Step 4: Simplify right side
    2,638.88x = 6,343,292.01
  5. Step 5: Solve for x
    x = 6,343,292.01/2,638.88
  6. Step 6: Final answer
    x = 2,403.78

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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.