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Finding the Fourth Proportional to 2,149.42, 3,225.48 and 689.66

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Solution

The fourth proportional to 2,149.42, 3,225.48 and 689.66 is: 1,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.42 : 3,225.48 = 689.66 : x
  2. Step 2: Convert to fraction form
    2,149.42/3,225.48 = 689.66/x
  3. Step 3: Cross multiply
    2,149.42x = 3,225.48 × 689.66
  4. Step 4: Simplify right side
    2,149.42x = 2,224,484.54
  5. Step 5: Solve for x
    x = 2,224,484.54/2,149.42
  6. Step 6: Final answer
    x = 1,034.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.