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Finding the Fourth Proportional to 2,445.94, 3,666.74 and 1,195.88

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Solution

The fourth proportional to 2,445.94, 3,666.74 and 1,195.88 is: 1,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.94 : 3,666.74 = 1,195.88 : x
  2. Step 2: Convert to fraction form
    2,445.94/3,666.74 = 1,195.88/x
  3. Step 3: Cross multiply
    2,445.94x = 3,666.74 × 1,195.88
  4. Step 4: Simplify right side
    2,445.94x = 4,384,965.69
  5. Step 5: Solve for x
    x = 4,384,965.69/2,445.94
  6. Step 6: Final answer
    x = 1,792.75

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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.