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Finding the Fourth Proportional to 2,781, 3,837.96 and 1,733.76

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Solution

The fourth proportional to 2,781, 3,837.96 and 1,733.76 is: 2,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 3,837.96 = 1,733.76 : x
  2. Step 2: Convert to fraction form
    2,781/3,837.96 = 1,733.76/x
  3. Step 3: Cross multiply
    2,781x = 3,837.96 × 1,733.76
  4. Step 4: Simplify right side
    2,781x = 6,654,101.53
  5. Step 5: Solve for x
    x = 6,654,101.53/2,781
  6. Step 6: Final answer
    x = 2,392.70

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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.