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Finding the Fourth Proportional to 1,882.34, 2,823.93 and 566.21

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Solution

The fourth proportional to 1,882.34, 2,823.93 and 566.21 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.34 : 2,823.93 = 566.21 : x
  2. Step 2: Convert to fraction form
    1,882.34/2,823.93 = 566.21/x
  3. Step 3: Cross multiply
    1,882.34x = 2,823.93 × 566.21
  4. Step 4: Simplify right side
    1,882.34x = 1,598,937.41
  5. Step 5: Solve for x
    x = 1,598,937.41/1,882.34
  6. Step 6: Final answer
    x = 849.44

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Why These Related Problems?

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