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Finding the Fourth Proportional to 2,497.27, 3,744.74 and 1,457.57

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Solution

The fourth proportional to 2,497.27, 3,744.74 and 1,457.57 is: 2,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.27 : 3,744.74 = 1,457.57 : x
  2. Step 2: Convert to fraction form
    2,497.27/3,744.74 = 1,457.57/x
  3. Step 3: Cross multiply
    2,497.27x = 3,744.74 × 1,457.57
  4. Step 4: Simplify right side
    2,497.27x = 5,458,219.64
  5. Step 5: Solve for x
    x = 5,458,219.64/2,497.27
  6. Step 6: Final answer
    x = 2,185.68

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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.