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Finding the Fourth Proportional to 1,830.12, 2,744.90 and 597.54

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Solution

The fourth proportional to 1,830.12, 2,744.90 and 597.54 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.12 : 2,744.90 = 597.54 : x
  2. Step 2: Convert to fraction form
    1,830.12/2,744.90 = 597.54/x
  3. Step 3: Cross multiply
    1,830.12x = 2,744.90 × 597.54
  4. Step 4: Simplify right side
    1,830.12x = 1,640,187.55
  5. Step 5: Solve for x
    x = 1,640,187.55/1,830.12
  6. Step 6: Final answer
    x = 896.22

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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.