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Finding the Fourth Proportional to 2,781.69, 3,838.74 and 1,733.75

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Solution

The fourth proportional to 2,781.69, 3,838.74 and 1,733.75 is: 2,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.69 : 3,838.74 = 1,733.75 : x
  2. Step 2: Convert to fraction form
    2,781.69/3,838.74 = 1,733.75/x
  3. Step 3: Cross multiply
    2,781.69x = 3,838.74 × 1,733.75
  4. Step 4: Simplify right side
    2,781.69x = 6,655,406.81
  5. Step 5: Solve for x
    x = 6,655,406.81/2,781.69
  6. Step 6: Final answer
    x = 2,392.58

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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.