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Finding the Fourth Proportional to 1,291.98, 1,926.69 and 1,204.50

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Solution

The fourth proportional to 1,291.98, 1,926.69 and 1,204.50 is: 1,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.98 : 1,926.69 = 1,204.50 : x
  2. Step 2: Convert to fraction form
    1,291.98/1,926.69 = 1,204.50/x
  3. Step 3: Cross multiply
    1,291.98x = 1,926.69 × 1,204.50
  4. Step 4: Simplify right side
    1,291.98x = 2,320,698.11
  5. Step 5: Solve for x
    x = 2,320,698.11/1,291.98
  6. Step 6: Final answer
    x = 1,796.23

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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.