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Finding the Fourth Proportional to 2,096.87, 2,892.59 and 1,257.17

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Solution

The fourth proportional to 2,096.87, 2,892.59 and 1,257.17 is: 1,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.87 : 2,892.59 = 1,257.17 : x
  2. Step 2: Convert to fraction form
    2,096.87/2,892.59 = 1,257.17/x
  3. Step 3: Cross multiply
    2,096.87x = 2,892.59 × 1,257.17
  4. Step 4: Simplify right side
    2,096.87x = 3,636,477.37
  5. Step 5: Solve for x
    x = 3,636,477.37/2,096.87
  6. Step 6: Final answer
    x = 1,734.24

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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.