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Finding the Fourth Proportional to 1,282.34, 1,923.50 and 849.39

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Solution

The fourth proportional to 1,282.34, 1,923.50 and 849.39 is: 1,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.34 : 1,923.50 = 849.39 : x
  2. Step 2: Convert to fraction form
    1,282.34/1,923.50 = 849.39/x
  3. Step 3: Cross multiply
    1,282.34x = 1,923.50 × 849.39
  4. Step 4: Simplify right side
    1,282.34x = 1,633,803.79
  5. Step 5: Solve for x
    x = 1,633,803.79/1,282.34
  6. Step 6: Final answer
    x = 1,274.09

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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.