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Finding the Fourth Proportional to 2,497.16, 3,473.63 and 2,449.64

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Solution

The fourth proportional to 2,497.16, 3,473.63 and 2,449.64 is: 3,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.16 : 3,473.63 = 2,449.64 : x
  2. Step 2: Convert to fraction form
    2,497.16/3,473.63 = 2,449.64/x
  3. Step 3: Cross multiply
    2,497.16x = 3,473.63 × 2,449.64
  4. Step 4: Simplify right side
    2,497.16x = 8,509,142.99
  5. Step 5: Solve for x
    x = 8,509,142.99/2,497.16
  6. Step 6: Final answer
    x = 3,407.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.