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Finding the Fourth Proportional to 1,928.59, 2,656.93 and 1,338.10

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Solution

The fourth proportional to 1,928.59, 2,656.93 and 1,338.10 is: 1,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.59 : 2,656.93 = 1,338.10 : x
  2. Step 2: Convert to fraction form
    1,928.59/2,656.93 = 1,338.10/x
  3. Step 3: Cross multiply
    1,928.59x = 2,656.93 × 1,338.10
  4. Step 4: Simplify right side
    1,928.59x = 3,555,238.03
  5. Step 5: Solve for x
    x = 3,555,238.03/1,928.59
  6. Step 6: Final answer
    x = 1,843.44

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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.