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Finding the Fourth Proportional to 3,004.66, 4,503.80 and 1,772.65

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Solution

The fourth proportional to 3,004.66, 4,503.80 and 1,772.65 is: 2,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.66 : 4,503.80 = 1,772.65 : x
  2. Step 2: Convert to fraction form
    3,004.66/4,503.80 = 1,772.65/x
  3. Step 3: Cross multiply
    3,004.66x = 4,503.80 × 1,772.65
  4. Step 4: Simplify right side
    3,004.66x = 7,983,640.95
  5. Step 5: Solve for x
    x = 7,983,640.95/3,004.66
  6. Step 6: Final answer
    x = 2,657.09

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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.