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Finding the Fourth Proportional to 1,847.50, 2,551.74 and 1,257.04

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Solution

The fourth proportional to 1,847.50, 2,551.74 and 1,257.04 is: 1,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.50 : 2,551.74 = 1,257.04 : x
  2. Step 2: Convert to fraction form
    1,847.50/2,551.74 = 1,257.04/x
  3. Step 3: Cross multiply
    1,847.50x = 2,551.74 × 1,257.04
  4. Step 4: Simplify right side
    1,847.50x = 3,207,639.25
  5. Step 5: Solve for x
    x = 3,207,639.25/1,847.50
  6. Step 6: Final answer
    x = 1,736.21

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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.