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Finding the Fourth Proportional to 2,515.71, 3,471.28 and 1,396.62

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Solution

The fourth proportional to 2,515.71, 3,471.28 and 1,396.62 is: 1,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.71 : 3,471.28 = 1,396.62 : x
  2. Step 2: Convert to fraction form
    2,515.71/3,471.28 = 1,396.62/x
  3. Step 3: Cross multiply
    2,515.71x = 3,471.28 × 1,396.62
  4. Step 4: Simplify right side
    2,515.71x = 4,848,059.07
  5. Step 5: Solve for x
    x = 4,848,059.07/2,515.71
  6. Step 6: Final answer
    x = 1,927.11

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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.