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Finding the Fourth Proportional to 2,462.63, 3,693.94 and 2,400.66

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Solution

The fourth proportional to 2,462.63, 3,693.94 and 2,400.66 is: 3,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.63 : 3,693.94 = 2,400.66 : x
  2. Step 2: Convert to fraction form
    2,462.63/3,693.94 = 2,400.66/x
  3. Step 3: Cross multiply
    2,462.63x = 3,693.94 × 2,400.66
  4. Step 4: Simplify right side
    2,462.63x = 8,867,888.00
  5. Step 5: Solve for x
    x = 8,867,888.00/2,462.63
  6. Step 6: Final answer
    x = 3,600.99

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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.