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Finding the Fourth Proportional to 1,829.66, 2,743.56 and 596.28

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Solution

The fourth proportional to 1,829.66, 2,743.56 and 596.28 is: 894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.66 : 2,743.56 = 596.28 : x
  2. Step 2: Convert to fraction form
    1,829.66/2,743.56 = 596.28/x
  3. Step 3: Cross multiply
    1,829.66x = 2,743.56 × 596.28
  4. Step 4: Simplify right side
    1,829.66x = 1,635,929.96
  5. Step 5: Solve for x
    x = 1,635,929.96/1,829.66
  6. Step 6: Final answer
    x = 894.12

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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.