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Finding the Fourth Proportional to 3,148.74, 4,721.56 and 1,832.94

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Solution

The fourth proportional to 3,148.74, 4,721.56 and 1,832.94 is: 2,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.74 : 4,721.56 = 1,832.94 : x
  2. Step 2: Convert to fraction form
    3,148.74/4,721.56 = 1,832.94/x
  3. Step 3: Cross multiply
    3,148.74x = 4,721.56 × 1,832.94
  4. Step 4: Simplify right side
    3,148.74x = 8,654,331.60
  5. Step 5: Solve for x
    x = 8,654,331.60/3,148.74
  6. Step 6: Final answer
    x = 2,748.51

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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.