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Finding the Fourth Proportional to 1,814.18, 2,720.97 and 497.66

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Solution

The fourth proportional to 1,814.18, 2,720.97 and 497.66 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.18 : 2,720.97 = 497.66 : x
  2. Step 2: Convert to fraction form
    1,814.18/2,720.97 = 497.66/x
  3. Step 3: Cross multiply
    1,814.18x = 2,720.97 × 497.66
  4. Step 4: Simplify right side
    1,814.18x = 1,354,104.33
  5. Step 5: Solve for x
    x = 1,354,104.33/1,814.18
  6. Step 6: Final answer
    x = 746.40

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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.