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Finding the Fourth Proportional to 2,444.66, 3,660.01 and 2,289.48

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Solution

The fourth proportional to 2,444.66, 3,660.01 and 2,289.48 is: 3,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.66 : 3,660.01 = 2,289.48 : x
  2. Step 2: Convert to fraction form
    2,444.66/3,660.01 = 2,289.48/x
  3. Step 3: Cross multiply
    2,444.66x = 3,660.01 × 2,289.48
  4. Step 4: Simplify right side
    2,444.66x = 8,379,521.97
  5. Step 5: Solve for x
    x = 8,379,521.97/2,444.66
  6. Step 6: Final answer
    x = 3,427.68

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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.