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Finding the Fourth Proportional to 1,924.83, 2,655.86 and 1,226.34

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Solution

The fourth proportional to 1,924.83, 2,655.86 and 1,226.34 is: 1,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.83 : 2,655.86 = 1,226.34 : x
  2. Step 2: Convert to fraction form
    1,924.83/2,655.86 = 1,226.34/x
  3. Step 3: Cross multiply
    1,924.83x = 2,655.86 × 1,226.34
  4. Step 4: Simplify right side
    1,924.83x = 3,256,981.22
  5. Step 5: Solve for x
    x = 3,256,981.22/1,924.83
  6. Step 6: Final answer
    x = 1,692.09

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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.