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Finding the Fourth Proportional to 3,187.89, 4,777.77 and 1,802.00

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Solution

The fourth proportional to 3,187.89, 4,777.77 and 1,802.00 is: 2,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.89 : 4,777.77 = 1,802.00 : x
  2. Step 2: Convert to fraction form
    3,187.89/4,777.77 = 1,802.00/x
  3. Step 3: Cross multiply
    3,187.89x = 4,777.77 × 1,802.00
  4. Step 4: Simplify right side
    3,187.89x = 8,609,517.65
  5. Step 5: Solve for x
    x = 8,609,517.65/3,187.89
  6. Step 6: Final answer
    x = 2,700.69

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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.