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Finding the Fourth Proportional to 2,497.74, 3,446.16 and 1,614.06

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Solution

The fourth proportional to 2,497.74, 3,446.16 and 1,614.06 is: 2,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.74 : 3,446.16 = 1,614.06 : x
  2. Step 2: Convert to fraction form
    2,497.74/3,446.16 = 1,614.06/x
  3. Step 3: Cross multiply
    2,497.74x = 3,446.16 × 1,614.06
  4. Step 4: Simplify right side
    2,497.74x = 5,562,309.01
  5. Step 5: Solve for x
    x = 5,562,309.01/2,497.74
  6. Step 6: Final answer
    x = 2,226.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.