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Finding the Fourth Proportional to 1,829.85, 2,744.91 and 597.38

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Solution

The fourth proportional to 1,829.85, 2,744.91 and 597.38 is: 896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.85 : 2,744.91 = 597.38 : x
  2. Step 2: Convert to fraction form
    1,829.85/2,744.91 = 597.38/x
  3. Step 3: Cross multiply
    1,829.85x = 2,744.91 × 597.38
  4. Step 4: Simplify right side
    1,829.85x = 1,639,759.66
  5. Step 5: Solve for x
    x = 1,639,759.66/1,829.85
  6. Step 6: Final answer
    x = 896.12

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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.