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Finding the Fourth Proportional to 3,076.42, 4,245.33 and 1,750.24

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Solution

The fourth proportional to 3,076.42, 4,245.33 and 1,750.24 is: 2,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.42 : 4,245.33 = 1,750.24 : x
  2. Step 2: Convert to fraction form
    3,076.42/4,245.33 = 1,750.24/x
  3. Step 3: Cross multiply
    3,076.42x = 4,245.33 × 1,750.24
  4. Step 4: Simplify right side
    3,076.42x = 7,430,346.38
  5. Step 5: Solve for x
    x = 7,430,346.38/3,076.42
  6. Step 6: Final answer
    x = 2,415.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.