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Finding the Fourth Proportional to 3,076.65, 4,245.71 and 1,750.48

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Solution

The fourth proportional to 3,076.65, 4,245.71 and 1,750.48 is: 2,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.65 : 4,245.71 = 1,750.48 : x
  2. Step 2: Convert to fraction form
    3,076.65/4,245.71 = 1,750.48/x
  3. Step 3: Cross multiply
    3,076.65x = 4,245.71 × 1,750.48
  4. Step 4: Simplify right side
    3,076.65x = 7,432,011.07
  5. Step 5: Solve for x
    x = 7,432,011.07/3,076.65
  6. Step 6: Final answer
    x = 2,415.62

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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.