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Finding the Fourth Proportional to 1,268.88, 1,890.50 and 1,206.92

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Solution

The fourth proportional to 1,268.88, 1,890.50 and 1,206.92 is: 1,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.88 : 1,890.50 = 1,206.92 : x
  2. Step 2: Convert to fraction form
    1,268.88/1,890.50 = 1,206.92/x
  3. Step 3: Cross multiply
    1,268.88x = 1,890.50 × 1,206.92
  4. Step 4: Simplify right side
    1,268.88x = 2,281,682.26
  5. Step 5: Solve for x
    x = 2,281,682.26/1,268.88
  6. Step 6: Final answer
    x = 1,798.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.