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Finding the Fourth Proportional to 2,506.61, 3,757.44 and 1,188.05

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Solution

The fourth proportional to 2,506.61, 3,757.44 and 1,188.05 is: 1,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.61 : 3,757.44 = 1,188.05 : x
  2. Step 2: Convert to fraction form
    2,506.61/3,757.44 = 1,188.05/x
  3. Step 3: Cross multiply
    2,506.61x = 3,757.44 × 1,188.05
  4. Step 4: Simplify right side
    2,506.61x = 4,464,035.99
  5. Step 5: Solve for x
    x = 4,464,035.99/2,506.61
  6. Step 6: Final answer
    x = 1,780.90

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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.