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Finding the Fourth Proportional to 4,469.59, 6,704.71 and 1,182.66

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Solution

The fourth proportional to 4,469.59, 6,704.71 and 1,182.66 is: 1,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.59 : 6,704.71 = 1,182.66 : x
  2. Step 2: Convert to fraction form
    4,469.59/6,704.71 = 1,182.66/x
  3. Step 3: Cross multiply
    4,469.59x = 6,704.71 × 1,182.66
  4. Step 4: Simplify right side
    4,469.59x = 7,929,364.23
  5. Step 5: Solve for x
    x = 7,929,364.23/4,469.59
  6. Step 6: Final answer
    x = 1,774.07

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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.