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Finding the Fourth Proportional to 1,829.38, 2,744.40 and 597.14

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Solution

The fourth proportional to 1,829.38, 2,744.40 and 597.14 is: 895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.38 : 2,744.40 = 597.14 : x
  2. Step 2: Convert to fraction form
    1,829.38/2,744.40 = 597.14/x
  3. Step 3: Cross multiply
    1,829.38x = 2,744.40 × 597.14
  4. Step 4: Simplify right side
    1,829.38x = 1,638,777.29
  5. Step 5: Solve for x
    x = 1,638,777.29/1,829.38
  6. Step 6: Final answer
    x = 895.81

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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.