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Finding the Fourth Proportional to 1,846.17, 2,770.38 and 750.54

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Solution

The fourth proportional to 1,846.17, 2,770.38 and 750.54 is: 1,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.17 : 2,770.38 = 750.54 : x
  2. Step 2: Convert to fraction form
    1,846.17/2,770.38 = 750.54/x
  3. Step 3: Cross multiply
    1,846.17x = 2,770.38 × 750.54
  4. Step 4: Simplify right side
    1,846.17x = 2,079,281.01
  5. Step 5: Solve for x
    x = 2,079,281.01/1,846.17
  6. Step 6: Final answer
    x = 1,126.27

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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.