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Finding the Fourth Proportional to 2,455.23, 3,682.74 and 606.27

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Solution

The fourth proportional to 2,455.23, 3,682.74 and 606.27 is: 909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.23 : 3,682.74 = 606.27 : x
  2. Step 2: Convert to fraction form
    2,455.23/3,682.74 = 606.27/x
  3. Step 3: Cross multiply
    2,455.23x = 3,682.74 × 606.27
  4. Step 4: Simplify right side
    2,455.23x = 2,232,734.78
  5. Step 5: Solve for x
    x = 2,232,734.78/2,455.23
  6. Step 6: Final answer
    x = 909.38

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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.