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Finding the Fourth Proportional to 2,495.43, 3,743.14 and 1,178.75

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Solution

The fourth proportional to 2,495.43, 3,743.14 and 1,178.75 is: 1,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.43 : 3,743.14 = 1,178.75 : x
  2. Step 2: Convert to fraction form
    2,495.43/3,743.14 = 1,178.75/x
  3. Step 3: Cross multiply
    2,495.43x = 3,743.14 × 1,178.75
  4. Step 4: Simplify right side
    2,495.43x = 4,412,225.28
  5. Step 5: Solve for x
    x = 4,412,225.28/2,495.43
  6. Step 6: Final answer
    x = 1,768.12

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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.