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Finding the Fourth Proportional to 1,924.80, 2,656.17 and 1,178.82

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Solution

The fourth proportional to 1,924.80, 2,656.17 and 1,178.82 is: 1,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.80 : 2,656.17 = 1,178.82 : x
  2. Step 2: Convert to fraction form
    1,924.80/2,656.17 = 1,178.82/x
  3. Step 3: Cross multiply
    1,924.80x = 2,656.17 × 1,178.82
  4. Step 4: Simplify right side
    1,924.80x = 3,131,146.32
  5. Step 5: Solve for x
    x = 3,131,146.32/1,924.80
  6. Step 6: Final answer
    x = 1,626.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.