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Finding the Fourth Proportional to 1,984.56, 2,976.14 and 597.54

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Solution

The fourth proportional to 1,984.56, 2,976.14 and 597.54 is: 896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.56 : 2,976.14 = 597.54 : x
  2. Step 2: Convert to fraction form
    1,984.56/2,976.14 = 597.54/x
  3. Step 3: Cross multiply
    1,984.56x = 2,976.14 × 597.54
  4. Step 4: Simplify right side
    1,984.56x = 1,778,350.24
  5. Step 5: Solve for x
    x = 1,778,350.24/1,984.56
  6. Step 6: Final answer
    x = 896.09

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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.