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Finding the Fourth Proportional to 1,626.86, 2,440.11 and 456.96

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Solution

The fourth proportional to 1,626.86, 2,440.11 and 456.96 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.86 : 2,440.11 = 456.96 : x
  2. Step 2: Convert to fraction form
    1,626.86/2,440.11 = 456.96/x
  3. Step 3: Cross multiply
    1,626.86x = 2,440.11 × 456.96
  4. Step 4: Simplify right side
    1,626.86x = 1,115,032.67
  5. Step 5: Solve for x
    x = 1,115,032.67/1,626.86
  6. Step 6: Final answer
    x = 685.39

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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.