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Finding the Fourth Proportional to 2,495.43, 3,740.92 and 1,033.65

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Solution

The fourth proportional to 2,495.43, 3,740.92 and 1,033.65 is: 1,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.43 : 3,740.92 = 1,033.65 : x
  2. Step 2: Convert to fraction form
    2,495.43/3,740.92 = 1,033.65/x
  3. Step 3: Cross multiply
    2,495.43x = 3,740.92 × 1,033.65
  4. Step 4: Simplify right side
    2,495.43x = 3,866,799.37
  5. Step 5: Solve for x
    x = 3,866,799.37/2,495.43
  6. Step 6: Final answer
    x = 1,549.55

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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.