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Finding the Fourth Proportional to 1,548.86, 2,324.03 and 671.63

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Solution

The fourth proportional to 1,548.86, 2,324.03 and 671.63 is: 1,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.86 : 2,324.03 = 671.63 : x
  2. Step 2: Convert to fraction form
    1,548.86/2,324.03 = 671.63/x
  3. Step 3: Cross multiply
    1,548.86x = 2,324.03 × 671.63
  4. Step 4: Simplify right side
    1,548.86x = 1,560,873.29
  5. Step 5: Solve for x
    x = 1,560,873.29/1,548.86
  6. Step 6: Final answer
    x = 1,007.76

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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.