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Finding the Fourth Proportional to 3,187.76, 4,779.81 and 1,237.69

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Solution

The fourth proportional to 3,187.76, 4,779.81 and 1,237.69 is: 1,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.76 : 4,779.81 = 1,237.69 : x
  2. Step 2: Convert to fraction form
    3,187.76/4,779.81 = 1,237.69/x
  3. Step 3: Cross multiply
    3,187.76x = 4,779.81 × 1,237.69
  4. Step 4: Simplify right side
    3,187.76x = 5,915,923.04
  5. Step 5: Solve for x
    x = 5,915,923.04/3,187.76
  6. Step 6: Final answer
    x = 1,855.82

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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.