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Finding the Fourth Proportional to 3,081.65, 4,623.15 and 1,764.05

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Solution

The fourth proportional to 3,081.65, 4,623.15 and 1,764.05 is: 2,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.65 : 4,623.15 = 1,764.05 : x
  2. Step 2: Convert to fraction form
    3,081.65/4,623.15 = 1,764.05/x
  3. Step 3: Cross multiply
    3,081.65x = 4,623.15 × 1,764.05
  4. Step 4: Simplify right side
    3,081.65x = 8,155,467.76
  5. Step 5: Solve for x
    x = 8,155,467.76/3,081.65
  6. Step 6: Final answer
    x = 2,646.46

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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.