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Finding the Fourth Proportional to 2,488.05, 3,729.65 and 1,188.81

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Solution

The fourth proportional to 2,488.05, 3,729.65 and 1,188.81 is: 1,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.05 : 3,729.65 = 1,188.81 : x
  2. Step 2: Convert to fraction form
    2,488.05/3,729.65 = 1,188.81/x
  3. Step 3: Cross multiply
    2,488.05x = 3,729.65 × 1,188.81
  4. Step 4: Simplify right side
    2,488.05x = 4,433,839.27
  5. Step 5: Solve for x
    x = 4,433,839.27/2,488.05
  6. Step 6: Final answer
    x = 1,782.05

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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.