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Finding the Fourth Proportional to 1,983.54, 2,975.42 and 522.71

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Solution

The fourth proportional to 1,983.54, 2,975.42 and 522.71 is: 784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.54 : 2,975.42 = 522.71 : x
  2. Step 2: Convert to fraction form
    1,983.54/2,975.42 = 522.71/x
  3. Step 3: Cross multiply
    1,983.54x = 2,975.42 × 522.71
  4. Step 4: Simplify right side
    1,983.54x = 1,555,281.79
  5. Step 5: Solve for x
    x = 1,555,281.79/1,983.54
  6. Step 6: Final answer
    x = 784.09

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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.