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Finding the Fourth Proportional to 2,951.85, 4,430.40 and 1,221.69

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Solution

The fourth proportional to 2,951.85, 4,430.40 and 1,221.69 is: 1,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.85 : 4,430.40 = 1,221.69 : x
  2. Step 2: Convert to fraction form
    2,951.85/4,430.40 = 1,221.69/x
  3. Step 3: Cross multiply
    2,951.85x = 4,430.40 × 1,221.69
  4. Step 4: Simplify right side
    2,951.85x = 5,412,575.38
  5. Step 5: Solve for x
    x = 5,412,575.38/2,951.85
  6. Step 6: Final answer
    x = 1,833.62

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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.