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Finding the Fourth Proportional to 3,108.76, 4,663.11 and 1,464.41

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Solution

The fourth proportional to 3,108.76, 4,663.11 and 1,464.41 is: 2,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.76 : 4,663.11 = 1,464.41 : x
  2. Step 2: Convert to fraction form
    3,108.76/4,663.11 = 1,464.41/x
  3. Step 3: Cross multiply
    3,108.76x = 4,663.11 × 1,464.41
  4. Step 4: Simplify right side
    3,108.76x = 6,828,704.92
  5. Step 5: Solve for x
    x = 6,828,704.92/3,108.76
  6. Step 6: Final answer
    x = 2,196.60

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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.