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Finding the Fourth Proportional to 2,707.88, 3,738.69 and 1,661.76

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Solution

The fourth proportional to 2,707.88, 3,738.69 and 1,661.76 is: 2,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.88 : 3,738.69 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    2,707.88/3,738.69 = 1,661.76/x
  3. Step 3: Cross multiply
    2,707.88x = 3,738.69 × 1,661.76
  4. Step 4: Simplify right side
    2,707.88x = 6,212,805.49
  5. Step 5: Solve for x
    x = 6,212,805.49/2,707.88
  6. Step 6: Final answer
    x = 2,294.35

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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.