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Finding the Fourth Proportional to 2,497.44, 3,438 and 2,146.08

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Solution

The fourth proportional to 2,497.44, 3,438 and 2,146.08 is: 2,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.44 : 3,438 = 2,146.08 : x
  2. Step 2: Convert to fraction form
    2,497.44/3,438 = 2,146.08/x
  3. Step 3: Cross multiply
    2,497.44x = 3,438 × 2,146.08
  4. Step 4: Simplify right side
    2,497.44x = 7,378,223.04
  5. Step 5: Solve for x
    x = 7,378,223.04/2,497.44
  6. Step 6: Final answer
    x = 2,954.31

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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.