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Finding the Fourth Proportional to 2,495.38, 3,743.57 and 740.41

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Solution

The fourth proportional to 2,495.38, 3,743.57 and 740.41 is: 1,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.38 : 3,743.57 = 740.41 : x
  2. Step 2: Convert to fraction form
    2,495.38/3,743.57 = 740.41/x
  3. Step 3: Cross multiply
    2,495.38x = 3,743.57 × 740.41
  4. Step 4: Simplify right side
    2,495.38x = 2,771,776.66
  5. Step 5: Solve for x
    x = 2,771,776.66/2,495.38
  6. Step 6: Final answer
    x = 1,110.76

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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.