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Finding the Fourth Proportional to 1,924.91, 2,655.77 and 1,178.09

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Solution

The fourth proportional to 1,924.91, 2,655.77 and 1,178.09 is: 1,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.91 : 2,655.77 = 1,178.09 : x
  2. Step 2: Convert to fraction form
    1,924.91/2,655.77 = 1,178.09/x
  3. Step 3: Cross multiply
    1,924.91x = 2,655.77 × 1,178.09
  4. Step 4: Simplify right side
    1,924.91x = 3,128,716.91
  5. Step 5: Solve for x
    x = 3,128,716.91/1,924.91
  6. Step 6: Final answer
    x = 1,625.39

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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.