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Finding the Fourth Proportional to 1,281.42, 1,924.44 and 1,178.52

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Solution

The fourth proportional to 1,281.42, 1,924.44 and 1,178.52 is: 1,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.42 : 1,924.44 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    1,281.42/1,924.44 = 1,178.52/x
  3. Step 3: Cross multiply
    1,281.42x = 1,924.44 × 1,178.52
  4. Step 4: Simplify right side
    1,281.42x = 2,267,991.03
  5. Step 5: Solve for x
    x = 2,267,991.03/1,281.42
  6. Step 6: Final answer
    x = 1,769.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.