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Finding the Fourth Proportional to 2,497.14, 3,447.42 and 1,502.64

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Solution

The fourth proportional to 2,497.14, 3,447.42 and 1,502.64 is: 2,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.14 : 3,447.42 = 1,502.64 : x
  2. Step 2: Convert to fraction form
    2,497.14/3,447.42 = 1,502.64/x
  3. Step 3: Cross multiply
    2,497.14x = 3,447.42 × 1,502.64
  4. Step 4: Simplify right side
    2,497.14x = 5,180,231.19
  5. Step 5: Solve for x
    x = 5,180,231.19/2,497.14
  6. Step 6: Final answer
    x = 2,074.47

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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.