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Finding the Fourth Proportional to 1,829.34, 2,743.14 and 674.28

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Solution

The fourth proportional to 1,829.34, 2,743.14 and 674.28 is: 1,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.34 : 2,743.14 = 674.28 : x
  2. Step 2: Convert to fraction form
    1,829.34/2,743.14 = 674.28/x
  3. Step 3: Cross multiply
    1,829.34x = 2,743.14 × 674.28
  4. Step 4: Simplify right side
    1,829.34x = 1,849,644.44
  5. Step 5: Solve for x
    x = 1,849,644.44/1,829.34
  6. Step 6: Final answer
    x = 1,011.10

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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.