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Finding the Fourth Proportional to 2,703.77, 4,055.77 and 854.92

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Solution

The fourth proportional to 2,703.77, 4,055.77 and 854.92 is: 1,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.77 : 4,055.77 = 854.92 : x
  2. Step 2: Convert to fraction form
    2,703.77/4,055.77 = 854.92/x
  3. Step 3: Cross multiply
    2,703.77x = 4,055.77 × 854.92
  4. Step 4: Simplify right side
    2,703.77x = 3,467,354.61
  5. Step 5: Solve for x
    x = 3,467,354.61/2,703.77
  6. Step 6: Final answer
    x = 1,282.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.