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Finding the Fourth Proportional to 2,781.77, 3,838.86 and 1,733.63

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Solution

The fourth proportional to 2,781.77, 3,838.86 and 1,733.63 is: 2,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.77 : 3,838.86 = 1,733.63 : x
  2. Step 2: Convert to fraction form
    2,781.77/3,838.86 = 1,733.63/x
  3. Step 3: Cross multiply
    2,781.77x = 3,838.86 × 1,733.63
  4. Step 4: Simplify right side
    2,781.77x = 6,655,143.67
  5. Step 5: Solve for x
    x = 6,655,143.67/2,781.77
  6. Step 6: Final answer
    x = 2,392.42

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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.